LINEAR MOTION PROBLEMS 201 22. The average person passes out at an acceleration of 7 g (that is, seven times the gravitational acceleration on Earth). Suppose a car is designed to accelerate at this rate. How much time would be required for the car to acceler- ate from rest to 60.0 miles per hour? (The car would need rocket boosters!) 23. A certain car is capable of accelerating at a rate of 10.60 m/s". How long does it take for this car to go from a speed of 55 mi/h to a speed of 60 mi/h? 26. A car is traveling due east at 25.0 m/s at some instant. (a) If its constant acceleration is 0.750 m/s due east, find its velocity after 8.50 s have elapsed. (b) If its constant acceleration is 0.750 m/s2 due west, find its velocity after 8.50 s have elapsed. 27. A car traveling east at 40.0 m/s passes a trooper hiding at the roadside. The driver uniformly reduces his speed to 25.0 m/s in 3.50 s. (a) What is the magnitude and direc- tion of the car's acceleration as it slows down? (b) How far does the car travel in the 3.5-s time period? 29. A truck covers 40.0 m in 8.50 s while smoothly slowing down to a final velocity of 2.80 m/s. (a) Find the truck's original speed. (b) Find its acceleration. 33. ecp In a test run, a certain car accelerates uniformly from zero to 24.0 m/s in 2.95 s. (a) What is the magni- tude of the car's acceleration? (b) How long does it take the car to change its speed from 10.0 m/s to 20.0 m/s? (c) Will doubling the time always double the change in speed? Why? 34. ecp A jet plane lands with a speed of 100 m/s and can accelerate at a maximum rate of -5.00 m/s as it comes to rest. (a) From the instant the plane touches the runway, what is the minimum time needed before it can come to rest? (b) Can this plane land on a small tropical island airport where the runway is 0.800 km long? 38. A car accelerates uniformly from rest to a speed of 40.0 mi/h in 12.0 s. Find (a) the distance the car travels during this time and (b) the constant acceleration of the car.
LINEAR MOTION PROBLEMS 201 22. The average person passes out at an acceleration of 7 g (that is, seven times the gravitational acceleration on Earth). Suppose a car is designed to accelerate at this rate. How much time would be required for the car to acceler- ate from rest to 60.0 miles per hour? (The car would need rocket boosters!) 23. A certain car is capable of accelerating at a rate of 10.60 m/s". How long does it take for this car to go from a speed of 55 mi/h to a speed of 60 mi/h? 26. A car is traveling due east at 25.0 m/s at some instant. (a) If its constant acceleration is 0.750 m/s due east, find its velocity after 8.50 s have elapsed. (b) If its constant acceleration is 0.750 m/s2 due west, find its velocity after 8.50 s have elapsed. 27. A car traveling east at 40.0 m/s passes a trooper hiding at the roadside. The driver uniformly reduces his speed to 25.0 m/s in 3.50 s. (a) What is the magnitude and direc- tion of the car's acceleration as it slows down? (b) How far does the car travel in the 3.5-s time period? 29. A truck covers 40.0 m in 8.50 s while smoothly slowing down to a final velocity of 2.80 m/s. (a) Find the truck's original speed. (b) Find its acceleration. 33. ecp In a test run, a certain car accelerates uniformly from zero to 24.0 m/s in 2.95 s. (a) What is the magni- tude of the car's acceleration? (b) How long does it take the car to change its speed from 10.0 m/s to 20.0 m/s? (c) Will doubling the time always double the change in speed? Why? 34. ecp A jet plane lands with a speed of 100 m/s and can accelerate at a maximum rate of -5.00 m/s as it comes to rest. (a) From the instant the plane touches the runway, what is the minimum time needed before it can come to rest? (b) Can this plane land on a small tropical island airport where the runway is 0.800 km long? 38. A car accelerates uniformly from rest to a speed of 40.0 mi/h in 12.0 s. Find (a) the distance the car travels during this time and (b) the constant acceleration of the car.
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Transcribed Image Text:LINEAR MOTION PROBLEMS 201
22. The average person passes out at an acceleration of
7 g (that is, seven times the gravitational acceleration on
Earth). Suppose a car is designed to accelerate at this rate.
How much time would be required for the car to acceler-
ate from rest to 60.0 miles per hour? (The car would need
rocket boosters!)
23. A certain car is capable of accelerating at a rate of
10.60 m/s". How long does it take for this car to go from a
speed of 55 mi/h to a speed of 60 mi/h?
26. A car is traveling due east at 25.0 m/s at some instant.
(a) If its constant acceleration is 0.750 m/s due east, find
its velocity after 8.50 s have elapsed. (b) If its constant
acceleration is 0.750 m/s2 due west, find its velocity after
8.50 s have elapsed.
27. A car traveling east at 40.0 m/s passes a trooper hiding at
the roadside. The driver uniformly reduces his speed to
25.0 m/s in 3.50 s. (a) What is the magnitude and direc-
tion of the car's acceleration as it slows down? (b) How far
does the car travel in the 3.5-s time period?
29. A truck covers 40.0 m in 8.50 s while smoothly slowing
down to a final velocity of 2.80 m/s. (a) Find the truck's
original speed. (b) Find its acceleration.
33. ecp In a test run, a certain car accelerates uniformly
from zero to 24.0 m/s in 2.95 s. (a) What is the magni-
tude of the car's acceleration? (b) How long does it take
the car to change its speed from 10.0 m/s to 20.0 m/s?
(c) Will doubling the time always double the change in
speed? Why?
34. ecp A jet plane lands with a speed of 100 m/s and can
accelerate at a maximum rate of -5.00 m/s as it comes to
rest. (a) From the instant the plane touches the runway,
what is the minimum time needed before it can come to
rest? (b) Can this plane land on a small tropical island
airport where the runway is 0.800 km long?
38. A car accelerates uniformly from rest to a speed of
40.0 mi/h in 12.0 s. Find (a) the distance the car travels
during this time and (b) the constant acceleration of the
car.
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