2. The driver of a car traveling at 30 m/s needs to quickly reduce the car's speed to 20 m/s to round a curve in the highway. If the car's deceleration has a magnitude of 6.0 m/s, how far does it travel while reducing the speed? 3. An airplane taking off from a landing field has a run of 500 m. If it starts from rest, moves with constant acceleration, and makes the run in 30 s, with what velocity did it take off?

2. The driver of a car traveling at 30 m/s needs to quickly reduce the car's speed to 20 m/s to round a curve in the highway. If the car's deceleration has a magnitude of 6.0 m/s, how far does it travel while reducing the speed? 3. An airplane taking off from a landing field has a run of 500 m. If it starts from rest, moves with constant acceleration, and makes the run in 30 s, with what velocity did it take off?

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Description: 2. The driver of a car traveling at 30 m/s needs to quickly reduce the car's speed to 20 m/s to round acurve in the highway. If the car's deceleration has a magnitude of 6.0 m/s, how far does it travel whilereducing the speed?3. An airplane taking o

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 64AP: To pass a physical education class at a university, a student must run 1.0 mi in 12 min. After...

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1. A skier is moving down a uniform slope at 3.0 m/s. If the acceleration down the hill is 4.0 m/s², find the skier's displacement after 5.0 seconds. 2. An elevator moving downward at 4.0 m's experiences an upward acceleration of 2.00 m/s for 1.80 s. What is its velocity at the end of the acceleration and how far has it traveled. 3. If a car needs to increase its speed from 50 km/h to 100 km/h and the engine can provide a maximum acceleration of magnitude 3.8 m/s, find the minimum length of the on-ramp.
9. The acceleration of a particle as it moves along a straight line is given by a = (2t - 1) m/s, where t is in seconds. If s =1 m and v = 2 m/s when t 0, determine the particle's velocity and position when t= 6 s. Also, determine the total distance the particle travels during this time period. Ans: v = 32 m/s; s = 67 m; d = 66 m 10 A narticle moves along a straight line uvith an acceleration of a = 5/(3s!/3 + 5/2) m/s2 where s is in
1. A particle moving in a straight line has an acceleration a = 4t – 9. Its initial velocity is 4m/s. Find the velocity (in m/s) after 6s. 2. A particle moves in accordance with the equation a = 24 – 6t2. When t = 0, v = 20m/s. Find the maximum positive velocity (in m/s).
6.An astronaut on a strange planet finds that she can jump a maximum horizontal distance of 15.0 m if her initial speed is 3.00 m/s. What is the free-fall acceleration on the planet? ()
6. Mary and Sally are in a foot race. When Mary is 22 m from the finish line, she has a speed of 4.0m/s and is 5.0 m behind Sally, who has a speed of 5.0m/s. Sally thinks she has an easy win and so, during the remaining portion of the race, decelerates at a constant rate of 0.4m/s^2 to the finish line. What constant acceleration does Mary now need during the remaining portion of the race, if she wishes to cross the finish line side-by-side with Sally?
4. A turtle is moving with a constant acceleration along a straight ditch. He starts his stopwatch as he passes a fence post and notes that it takes him 10 s to reach a pine tree 10 m farther along the ditch. As he passes the pine tree, his speed is 1.2 m/s. How far was he from the fence post when he started from rest?
3. Toy Train : A toy train pushed forward and released at x0=2.0 m with a speed of 2 m/s. It rolls at a steady speed for 2 s, then one wheel begins to stick. The train comes to a stop at 6m from the point at which it was released. What is the magnitude of the train's acceleration after its wheel begins to stick?
1. A car is moving in a linear path with velocity, v = 35 sin t for t = 1.5 s from rest. The car then maintains the velocity for 10 seconds before the driver hit the brake after seeing a dog on the road. Given that the dog is 500 m away from the car, (a) find out the minimum constant deceleration needed by the car in order for the car not to hit the dog. (b) find the time for the car to stop during the brake. (c) find the total distance moved by the car from rest to stop with the minimum constant deceleration. (d) sketch the velocity-time (v-t) graph of the car from rest to stop with the minimum constant deceleration.
3. The velocity of a particle traveling along a straight line is v = (3t – 4t) ft/s, where t is in seconds. If s = 4 ft when t = 0, determine the position of the particle when t = 4 s. What is the total distance traveled during the time interval t = 0 to t = 4 s?
3. A fighter jet lands on the flight deck of an aircraft carrier. The jet must reduce its speed from about 153 m/s to exactly 0 m/s in 2.0 s or it will fall off the back of the carrier into the ocean. What is the jet's acceleration? 4. Arunner whose initial speed is 2.9 m/s increases her speed to 3.1 m/s in order to win the race. If the runner takes 5.0 s to complete this increase in speed, what is her acceleration? 5. A certain roller coaster accelerates its cars 6.35 m/s? up the first incline. If this acceleration happens during the first 7.0 s of the ride, how much does the coaster's speed increase? 6. A solid-fuel rocket boosters used to launch a space shuttle above the Earth's surface. During that time, the shuttle undergoes a total acceleration of 6.25 m/s?, so that its speed increases from rest to about 750 m/s. How long does it take for the shuttle to reach this speed? 7. In 1995, Bonnie Blair set the world record for speed skating. Suppose that she coasted to a stop on the ice…
2. A particle moves along the x-axis according to the equation X = 5.00 + 7.00t – 2.00t2, where x is in meters and t is in seconds. (a) What is the particle's position along the x-axis at t= 3.00-s? (b) What is the particle's average velocity between t = 0 and t= 3.00-s? (c) At what time is the particle's average velocity zero (other than at t-0)? (d) What is the particle's average acceleration between t = 0 and t = 3.00-s? (e) What is the particle's instantaneous velocity at t = 3.00-s? Answers: (a) 8.00 m (b) 1.00 m/s (c) 3.50 s (d) -4.00 m/s² (e) -5.00 m/s
III. EVALUATION Solve the following word problems. 1. A sports car must achieve a velocity of 100 m/s after passing the entry tollgate of an expressway. If it can do this after traveling 1km, what must its acceleration be? 2. An object is thrown upward and returns to the ground 12 seconds. How high did the ball go? 3. A bus is traveling with a uniform velocity of 20 m/s. At the instant it passes a car at rest, the car starts to accelerate at 4 m/s2 in the same direction as the velocity of the bus. (a) After how many seconds will the car overtake the bus? (b) How far will the car travel before overtaking the bus?