3. The position of an object as a function of time is r(t) = (7t³ - t)î+ (3t²)ĵ. Find the magnitude and direction of the object's displacement vector Ar as a function of time relative to the initial position (at which t = 0) at t = 7.

3. The position of an object as a function of time is r(t) = (7t³ - t)î+ (3t²)ĵ. Find the magnitude and direction of the object's displacement vector Ar as a function of time relative to the initial position (at which t = 0) at t = 7.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter4: Motion In Two And Three Dimensions

Section: Chapter Questions

Problem 19P

See similar textbooks

Related questions

Q: An electron with a speed of 1.5 x 107 m/s moves horizontally into a region where a constant vertical…

Q: Current Attempt in Progress Your answer is partially correct. In the figure, a 0.26 kg block of…

Q: If you have to push a 16 kg crate with a force of 32 N to get it to start sliding across the ground,…

Q: A soccer ball is dropped (released) from a bridge. A tennis ball is thrown downward with some…

A: initial velocity of soccer ball (u) = 0 m/s height of bridge (h) = 20 m

Q: crate with mass m = 23.9 kg being pushed up an incline that makes an angle φ = 19.2 degrees with…

A: Given:- The mass of the creat is m = 23.9 kg The inclined plane makes an angle is φ = 19.20 The…

Q: You'll learn that the potential energy of two electric charges is inversely proportional to the…

Q: A 2.0kg mass on a spring with elastic constant 32 N/m starts at a position of x=0.3m away from…

Q: 2.How fast would a box on a ramp accelerate if the surfaces' coefficient of kinetic friction is…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: The capacitance of a parallel-plate capacitor with plates of area 1.50 m² that are separated by…

Q: km hr Q3/ Vehicle A is moving at a constant velocity VA 120- at a location where the speed limit is…

Q: What is the value of a resistor with colors from left: Orange, Blue, Gold and Silver?

Q: 4. You run horizontally at B m/s in a vertically falling rain at B m/s. a. Draw the vector diagram…

Q: km Q3/ Vehicle A is moving at a constant velocity VA 120 at a location where the speed limit is 100…

A: Write the given values with the suitable variables. vA=120 km/h=33.33 m/svP=140 km/h=38.89 m/sa=5…

Q: On which ball is a non-zero resultant force acting? a ball moving at constant speed on a smooth…

A: We need to tell in which case the ball will have non zero resulting force Correct option -: C. In…

Q: A spaceship leaves the solar system at v = (3/5)c and is headed towards a planet that is 20 c •…

Q: A powerboat, starting from rest, maintains a constant acceleration. After a certain time t, its…

A: Given, Initial velocity =0 At time t Velocity vector is v And Displacement vector is r

Q: Three point charges are arranged in a horizontal line as shown below. Find the electric forces (in…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A runner maintains constant acceleration from rest, reaching 8.1 m/s after running 99 m. How much…

Q: A remote-controlled car is moving in a vacant parking lot. The velocity of the car as a function of…

A: According to question we need to find What is the magnitude of the acceleration of the car at t =…

Q: Which of the following is true? On=0 ◯7+7=7 xj=1 ○ W=

Q: Anthony carelessly rolls his toy car off a 79.0-cm-high table. The car strikes the floor at a…

A: Given: height of table=H=79 cm=0.79 m Range= R= 96 cm= 0.96 m

Q: What must be the angle 0₁ to have total internal reflection between medium of index of refraction…

Q: A locomotive is accelerating at 1.87m/s^2. It passes through a 15.1m wide crossing in a time of…

A: Given, acceleration, a=1.87 m/s2 final velocity, v=28.0 m/s length of crossing, s=15.1 m time=3.07s

Q: A golfer is attempting to reach the elevated green by hitting his ball under a low-hanging branch in…

A: Given, The initial speed of the ball, vo = 115 mihr = 185.07 kmhr height of the tree B, HB = 69 yd…

Q: A spark occurs at the tip of a metal needle if the electric field strength exceeds 3.0x106 N/C, the…

A: Sparking will occur when the magnitude of electric field due to surface becomes equal to the…

Q: (d) At what time(s) does the object turn around, or change the direction in which it is moving (in…

A: When the object has to turn around it first slows down and at the turning point velocity is zero and…

Q: A placekicker is attempting to make a 48-yard field goal. If the launch angle of the football is…

Q: Consider the position vector a shown in the diagram below. a makes an angle with the positive x…

Q: You are driving your car, and the traffic light ahead turns red. You apply the breaks for 2.93s, and…

A: Given data: Time taken (t) = 2.93 s Final velocity (v) = +5.33 m/s Acceleration (a) = -2.98 m/s2…

Q: Three objects are fired into the air with the same initial speed, but at different angles. The…

Q: 8. As a newspaper delivery boy, Jason needs to know his projectile motion to throw a paper…

A: Since the velocity along the horizontal direction remains the same, the acceleration will be zero.…

Q: A light ray is incident on a horizontal mirror at 75°. If one end of the mirror is displaced upward…

Q: Exercise 1 Solve the Laplace equation and find the temperature at the interior node at (x-3, y-6)…

Q: A mass remains at rest on a rough incline, as shown below. Which free-body diagram is correct?…

A: Given data: A mass remains at rest on a rough inclined plane Required: The free body diagram

Q: A 63.0 kg skater moving initially at 2.10 m/s on rough horizontal ice comes to rest uniformly in…

A: Given Data:- Mass of the skater is m=63.0 kg Initial velocity of the skater is vi=2.10 m/s Final…

Q: From the top of a 20 m building, you throw an egg downwards with a speed of 5 m/s. Which of the…

Q: Bob is trying to determine the height of his balcony from the base of the building withou his…

A: The three equation of motion are v = u + at s = ut + (1/2) at2 v2 = u2 + 2as

Q: A long cylindrical insulating shell has an inner radius of a=1.41 m and an outer radius of b=1.6 m.…

Q: 3.) When a photon of wavelength λ0 = 0.024 ̊A is incident on a target, the scattered photon is…

Q: During the first 18 minutes of a 1.0-hour trip, a car has an average speed of 11 m/s. What must the…

Q: what is the initial velocity of an object that slows to rest in 2.0 sec at 45 m/s2?

Q: Calculate the magnitude of he gravity acceleration on the surface of the moon, ignore the gravity…

A: Radius of the moon r=1948 km Mass of moon m=7.58×1022 kg

Q: Two ice skaters, Megan and Jason, push off from each other on frictionless ice. Jason's mass is…

Q: An electrostatic potential is given by V = (1/(4πε_0) )((P r)/r^3) Calculate the electric field…

Q: Forces of 50 N at 180 degrees, and 10 N at an angle of 180 degrees, measured counter-clockwise from…

A: Write the provided forces in vector form. Determine the resultant force in vector form.

Q: If the graph of the velocity of an object as a function of time is a straight line, what can you…

Q: A man threw a rock towards the sea from a cliff that is 20.0 m tall. If the rock was released 30.0°…

Q: Determine the dimensions in the vernier caliper illustrations in Figures C-66a and C-6660. Figure…

A: From figure C-66a The main scale reading is M.S.R=3.5in The vernier scale devision is N=3 And the…

Q: Short computation The position of an object as a function of time is given by x(t) = bt2 - ct, where…

Q: 6. A cake is removed from an oven at 320⁰ F and cools to 130° F after 28 min in a room at 77° F. How…

Concept explainers

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

3. The position of an object as a function of time is r(t) = (7t³ - t)i + (3t²)ĵ. Find the
magnitude and direction of the object's displacement vector AF as a function of time
relative to the initial position (at which t = 0) at t = 7.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

5. An object moving in the x-y plane has a position vector given by: 7 = (2t³ - 5t)î+ (6-t¹)ĵ (in meters). Find the particle's a. position vector at t = 0s b. position vector at t = 2s 4 c. displacement vector for this change in position
2. Using any of the 2 Graphical Methods, solve for the value of the unknown displacement dz and the angle it makes with the positive x-axis. di = 45 m, 75° E of S d2 = 60 m, N 75° W dr = = 35 m, South
1. A rescue party for a missing child follows a search dog named Trooper. Trooper wanders around and makes trial sniffs along many different paths. Trooper eventually finds the child but his displacements on various legs seem to be truly convoluted. On one of the legs he walks 200.0 m southeast, and then he runs north some 300.0m. On the third leg, he examines the scents carefully for 50.0 m in the direction of 30 west of north On the fourth leg Trooper goes directly south for 80.0 m. picks up a fresh scent and turns 23 west of south for 150.0 m. Find the scalar components of Trooper's displacement vectors and his displacement vector for each leg.
Vector A > +x L. +y Vector A is shown. Which of the following options represents A,, the r component of vector A? O A cos(0) O-Asin(0) O-A cos(6) O A sin(6)
1. A particle undergoes the following consecutive displacements: 3.50 m south, 8.20 m northeast, and 15.0 m west. What is the resultant displacement?
4. In three dimensional system, the position coordinates of a particle (in motion) are given below x = a cos Ot y = asin ot z = awt The velocity of particle will be (a) √√2 aw (c) aw (b) 2 aw (d) √3 aw
22. Three displacement vectors of a cro- quet ball are shown in Figure P3.22, where A 40.0 units, and |C (a) the resultant in unit-vector nota- 20.0 units, B 30.0 units. Find A. 45.0° tion and (b) the magnitude and direc- tion of the resultant displacement. 45.0 23. (a) Taking A = (6.00 i - 8.00 j) units, QIC B (-8.00 i + 3.00 j) units, and C = (26.0 i + 19.0 j) units, determine a Figure P3.2 and b such that a A + bB + C = 0. (b) A student has learned that a single equation cannot be solved to determine values for more than one unknown in it. How would you explain to him that both a and b can be determined from the single equation used in part (a):
7. Given the following components for vectors A-C, find the magnitude and direction for the resultant vector R. Vector X-component y-component A +4 -1 B -1 -6 +3 +3
In a total time of 3.0 minutes, a duck on a pond paddles 31 m [N33oE] and then paddlesanother 57 m [E28oS]. Solve for the displacement graphically (with a ruler andprotractor) and then answer the questions. The scale diagram should have a scale, labeled axes, correct vector length and directions, vectorlabels, appropriate significant digits based on your measuring device and final answer withmagnitude to correct sig figs, with unit and direction. Using the displacement you determined from your graph, what was the duck’s average velocityfor the trip? What total distance did the duck travel? What was the average speed of the duck for the whole trip?
4. The mouse continued its trek and headed rightward (+x) for 100 cm. Update the graph, and calculate the magnitude and direction of the mouse's displacement.
1. An airplane travels 209 km at an angle of 22.5 degrees north of east. It changes its course by moving 100 km north before reaching its destination. Using the laws of sine and cosine, determine the resultant displacement of the airplane.
The figure shows the path taken by a drunk skunk over level ground, from initial point i to final pointL The angles are 6 - 30.0o: - 51.0 and - 77.0.and the distances are dy - 440 m d - 7.10m and dy - 13.0m What are the ta) magnitude and Ibi angle of the skunk's displacement fromi to Give the ande as a positive (counterdlockwisel or negative (clockwise) angle of magnitude less than 180 measured from the direction la) Number Units (b) Number Units