1.) A vehicle runs horizontally at the rate of 20m/sec for 10 sec., then turns in a direction of 30 deg. With horizontal and decelerate at 10 m/sec for 5 sec. a.)What is the total distance traveled within the 15 sec period? b.)And what is its total displacement?

1.) A vehicle runs horizontally at the rate of 20m/sec for 10 sec., then turns in a direction of 30 deg. With horizontal and decelerate at 10 m/sec for 5 sec. a.)What is the total distance traveled within the 15 sec period? b.)And what is its total displacement?

Name: 1.) A vehicle runs horizontally at the rate of 20m/sec for 10 sec., th
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Description: 1.) A vehicle runs horizontally at the rate of 20m/sec for 10 sec., then turns in a direction of 30 deg. With horizontal and decelerate at 10 m/sec for 5 sec.a.)What is the total distance traveled within the 15 sec period?b.)And what is its total dis

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter2: One Dimensional Motion

Section: Chapter Questions

Problem 30PQ: A The instantaneous speed of a particle moving along one straight line is v(t) = ate5t, where the...

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(a) A daredevil is attempting to jump his motorcycle over a line of buses parked end to end by driving up a 32° ramp at a speed of 40.0 m/s (144 km/h). How many buses can he clear if the top of the takeoff ramp is at the same height as the bus tops and the buses are 20.0 m long? (b) Discuss what your answer implies about the margin of error in this act—that is, consider how much greater the range is than the horizontal distance he must travel to miss the end of the last bus. (Neglect air resistance.)
A The instantaneous speed of a particle moving along one straight line is v(t) = ate5t, where the speed v is measured in meters per second, the time t is measured in seconds, and the magnitude of the constant a is measured in meters per second squared. What is its maximum speed, expressed as a multiple of a?
A hiker walks 3.00 km north and then 4.00 km west, all in one hour and forty minutes, (a) Calculate his average speed in km/h. (b) Calculate the magnitude of his average velocity. (See Section 3.2 and 3.3.)
(a) Repeat the problem two problems prior, but for the second leg you walk 20.0 m in a direction 40.0° north of east (which is equivalent to subtracting B from A that is, to finding R=AB ). (b) Repeat the problem two problems prior, but now you first walk 20.0 m in a direction 40.0° south of west and then 12.0 m in a direction 20.0° east of south (which is equivalent to subtracting A from B that is, to finding R=BA=R ). Show that this is the case.
A If the vector components of a particles position moving in the xy plane as a function of time are x=bt2i and y=ct3j, where b and c are positive constants with the appropriate dimensions such that the components will be in meters, at what time t is the angle between the particles velocity and the x axis equal to 45?
Galileo thought about whether acceleration should be defined as the rate of change of velocity over time or as the rate of change in velocity over distance. He chose the former, so lets use the name vroomosity for the rate of change of velocity over distance. For motion of a particle on a straight line with constant acceleration, the equation v = vi + at gives its velocity v as a function of time. Similarly, for a particles linear motion with constant vroomosity k, the equation v = vi + kx gives the velocity as a function of the position x if the particles speed is vi at x = 0. (a) Find the law describing the total force acting on this object of mass m. Describe an example of such a motion or explain why it is unrealistic for (b) the possibility of k positive and (c) the possibility of k negative.
2. A ball is thrown at an angle of 45.0° from the horizontal with an initial velocity of 5.0". a. At what time will the ball reach its maximum height? b. What will be the maximum height of the ball's trajectory? c. How far will the ball travel horizontally when it reaches the maximum height of its flight?
complete solution 1. What is the magnitude of the displacement of a car that travels 7.6 mi east and then 8.9 mi north? One mile is 1609.34 meters. 2. A car that travels at 8.9 km/hr for 2.0 hrs, at 3.6 km/hr for 1.0 hr and at 2 km/hr for half an hour. What is its average speed? 3. If the ball was kicked from ground gaining a velocity of 87 m/s at 5.9 degrees from the horizontal. Find the velocity of the ball when it reached maximum height. Select one: a. 86.5391 m/s b. 8.9430 m/s c. 9.81 m/s d. 0 m/s 4. In a construction site, a heavy hollow block falls down from a height of 63m above the ground. Unfortunately, there is a man 6ft height tall right below the incident. As to what maximum time should the man react as to safely move away from the falling block?1m = 3.2808ft 5. A hiker goes 6 km, 67 degrees east of north then changes direction and goes 5 km, 34 degrees west of north. How far is he from the starting point?
1. A bus moves 150 m due North, then 100 m due South. What are the bus total distance and displacement?
7. A projectile is fired upward from a 15.3 m cliff at a speed of 19.6 m/s and allowed to fall into a valley 2 below. The acceleration due to earth's gravity is about 9.8 m/s². Find: a. the maximum height reached by the projectile. b. the displacement and the total distance traveled by the projectile after 3 seconds.
3. Shown below is the acceleration function for a particle over the approximately first two seconds of its motion. Draw an approximate graph of velocity as a function of time assuming v, = 0 m/s. alt) t 20 15 10 5. 0.5 1.0 1.5 2.0 2.5 4. Let vector A point from the origin into the first quadrant of the xy plane and vector B point from the origin into the third quadrant. The vector Ă – B must be in which quadrant?
10. A particle moves along a straight line with an acceleration of a = 5/(3s3 + s32) m/s, where s is in meters. Determine the particle's velocity when s = 2 m, if it starts from rest when s 1 m. Use a numerical method to evaluate the integral. Ans. v= 1.29 m/s