Concept explainers
A car travels on a straight, level road.
- (a) Starting from rest, the car is going 44 ft/s (30 mi/h) at the end of 5.0 s. What is the car’s average acceleration in ft/s2?
- (b) In 4.0 more seconds, the car is going 88 ft/s (60 mi/h). What is the car’s average acceleration for this time period?
- (c) The car then slows to 66 ft/s (45 mi/h) in 3.0 s. What is the average acceleration for this time period?
- (d) What is the overall average acceleration for the total time? (Note these convenient British unit conversions: 60 mi/h = 88 ft/s, 45 mi/h = 66 ft/s, and 30 mi/h = 44 ft/s.)
(a)
Answer to Problem 14E
Explanation of Solution
Given info: The initial velocity of the car is zero, final velocity of the car is
Explanation:
The formula for the acceleration is as follows,
Here,
Substitute
Conclusion:
Therefore, the average accleration of the car at the end of five seconds is
(b)
Answer to Problem 14E
Explanation of Solution
Given info: The final velocity of the car is
Explanation:
The final velocity at the end of
The formula for the acceleration is as follows,
Here,
Substitute
Conclusion:
Therefore, the average accleration of the car at the another four seconds is
(c)
Answer to Problem 14E
Explanation of Solution
Given info: The final velocity of the car is
Explanation:
The final velocity at the end of another four secondss is the initial velocity for this case.
The formula for the acceleration is as follows,
Here,
Substitute
Conclusion:
Therefore, the average accleration of the car at the another three seconds is
(d)
Answer to Problem 14E
Explanation of Solution
Given info: The final velocity of the car is
Explanation:
The final velocity of the car is
The total time
The formula for the acceleration is as follows,
Here,
Substitute
Conclusion:
Therefore, the overall average accleration of the car for the total time is
Want to see more full solutions like this?
Chapter 2 Solutions
INTRO.TO PHYSICAL SCIENCE NSU PKG >IC<
- A steel ball is dropped onto a hard floor from a height of 1.50 m and rebounds to a height of 1.45 m. Calculate its velocity just before it strikes the floor. Answer in 2 decimal places. Calculate its velocity just after it leaves the floor on its way back up. Answer in 2 decimal places. Calculate its acceleration during contact with the floor if that contact lasts 8.00 × 10−5s.arrow_forwardAn object covers 60 m in 6 s in the positive x-axis while slowing down with constant acceleration to a final speed of 10 m/s. It is original speed (in m/s) is a.16 b.20 c.24 d.10arrow_forwardThe cheetah can reach a top speed of 114 km/h(71 mi/h). While chasing its prey in a short sprint a cheetah starts from rest and runs 50 m in a straight line reaching a final speed of 98 km/hDetermine the truth is average acceleration during the short sprint Find it's displacement at t=3.4 seconds (assume the cheetah maintains a constant acceleration throughout the sprint)arrow_forward
- A car starts from rest and travels at a constant acceleration of 600 kilometers per hour^2 along a straight path. 1. What is the velocity in meter per seconds at 10 kilometer distance? a. 109.54 b. 200.00 c. 66.70 d. None of thesearrow_forwardKaleb has decided to forget about flying and buys a boat instead. If his boat increases its speed from 5.0 m/s to 7.5 m/s over a distance of 50.0 m. What is the boat's acceleration? (please hand-write it and make it clear)arrow_forwardA rocket-powered sled moves along a track, eventually reaching a top speed of 219 m/s to the east. It then begins to slow down, reaching a complete stop after slowing down for 4.98 s. What was the sled s average acceleration and velocity during the slowdown phase? 44.0 m/s^2 east, not enough information 109.5 m/s^2 west, 109.5 m/s west 44.0 m/s^2 west, not enough information 0 m/s^2 0, 109.5 m/s eastarrow_forward
- A rocket-powered sled moves along a track, eventually reaching a top speed of 230 m/s to the west. It then begins to slow down, reaching a complete stop after slowing down for 2.85 s. What was the sled s average acceleration and velocity during the slowdown phase? 80.7 m/s^2 west, not enough information 115 m/s^2 east, 115 m/s east 80.7 m/s^2 east, not enough information 0 m/s^2 0, 115 m/s westarrow_forwardA train approaches a small town with a constant velocity of +28.6 m/s. The operator applies the brake, reducing the train’s velocity to +11.4 m/s. If the average acceleration of the train during braking is –1.35 m/s^2, for what elapsed time does the operator apply the brake?arrow_forwardA toy train rolling on a straight stretch of tracks, initially going 0.31 m/s slows uniformly to 0.14 m/s in 17 s. It then speeds up with a constant acceleration of magnitude 0.068 m/s2 over a distance of 4.2 m. ii) What is its final speed after speeding up for the last 4.2 marrow_forward
- A train is traveling down a straight track at 32 m/s when the engineer applies the brakes, resulting in an acceleration of −1.0 m/s2 as long as the train is in motion. How far does the train move during a 64-s time interval starting at the instant the brakes are applied in meters?arrow_forwardAn object with an initial speed of 12 m / s in the west direction is subjected to a constant acceleration of 4 m / s2 in the west direction for 3 s. During this time, the object travels a distance of: a) 144 m b) 24 m c) 18 m d) 54 m e) 36 marrow_forwardAn object starts from rest and accelerates at a rate of 3.0 m/s/s for 10 seconds. What is the displacement of the object? 30 m 0.3 m 150 m 300 marrow_forward
- An Introduction to Physical SciencePhysicsISBN:9781305079137Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar TorresPublisher:Cengage Learning