PQ: 1-D Acceleration

Question 1

A plane accelerates down a runway at 3.20m/s^2 for 32.8s until it finally lifts off the ground. Determine distance travelled before take off.

Answer 1

1.72 x 10^3 m

Question 2

A car starts from rest and accelerates uniformly over a time of 5.21s for a distance of 110m. Determine the acceleration of the car.

Answer 2

8.10m/s/s

Question 3

Upton Chuck is riding the Giant Drop at Great America. If Upton free falls for 2.60 seconds, what will be his final velocity and how far will he fall?

Answer 3

vf = 25.5m/s 
d = 33.15m

Question 4

A race car accelerates uniformly from 18.5 m/s to 46.1 m/s in 2.47 seconds. Determine the acceleration of the car and the distance traveled.

Answer 4

a = 11.17m/s/s
d = 80m

Question 5

A feather is dropped on the moon from a height of 1.40 meters. The acceleration of gravity on the moon is 1.67 m/s2. Determine the time for the feather to fall to the surface of the moon.

Answer 5

t = 1.29s

Question 6

Rocket-powered sleds are used to test the human response to acceleration. If a rocket-powered sled is accelerated to a speed of 444 m/s in 1.83 seconds, then what is the acceleration and what is the distance that the sled travels?

Answer 6

a = 242.6 m/s/s

Question 7

A bike accelerates uniformly from rest to a speed of 7.10 m/s over a distance of 35.4 m. Determine the acceleration of the bike.

Answer 7

a = 0.712 m/s/s

Question 8

An engineer is designing the runway for an airport. Of the planes that will use the airport, the lowest acceleration rate is likely to be 3 m/s2. The takeoff speed for this plane will be 65 m/s. Assuming this minimum acceleration, what is the minimum allowed length for the runway?

Answer 8

d = 704 m

Question 9

A car traveling at 22.4 m/s skids to a stop in 2.55 s. Determine the skidding distance of the car (assume uniform acceleration).

Answer 9

d = 28.6 m

Question 10

A kangaroo is capable of jumping to a height of 2.62 m. Determine the takeoff speed of the kangaroo.

Answer 10

vi = 7.17 m/s

Question 11

If Michael Jordan has a vertical leap of 1.29 m, then what is his takeoff speed and his hang time (total time to move upwards to the peak and then return to the ground)?

Answer 11

vi = 5.03 m/s and hang time = 1.03 s (except for in sports commericals)

Question 12

A bullet leaves a rifle with a muzzle velocity of 521 m/s. While accelerating through the barrel of the rifle, the bullet moves a distance of 0.840 m. Determine the acceleration of the bullet (assume a uniform acceleration).

Answer 12

a = 1.62*105 m/s/s

Question 13

A baseball is popped straight up into the air and has a hang-time of 6.25 s. Determine the height to which the ball rises before it reaches its peak. (Hint: the time to rise to the peak is one-half the total hang-time.)

Answer 13

d = 48.0 m

Question 14

The observation deck of tall skyscraper 370 m above the street. Determine the time required for a penny to free fall from the deck to the street below.

Answer 14

t = 8.69 s

Question 15

A bullet is moving at a speed of 367 m/s when it embeds into a lump of moist clay. The bullet penetrates for a distance of 0.0621 m. Determine the acceleration of the bullet while moving into the clay. (Assume a uniform acceleration.)

Answer 15

a = -1.08*10^6 m/s/s

Question 16

A stone is dropped into a deep well and is heard to hit the water 3.41 s after being dropped. Determine the depth of the well.

Answer 16

d = -57.0 m (57.0 meters deep)

Question 17

It was once recorded that a Jaguar left skid marks that were 290 m in length. Assuming that the Jaguar skidded to a stop with a constant acceleration of -3.90 m/s2, determine the speed of the Jaguar before it began to skid.

Answer 17

vi = 47.6 m/s

Question 18

A plane has a takeoff speed of 88.3 m/s and requires 1365 m to reach that speed. Determine the acceleration of the plane and the time required to reach this speed.

Answer 18

a = 2.86 m/s/s and t = 30. 8 s

Question 19

A dragster accelerates to a speed of 112 m/s over a distance of 398 m. Determine the acceleration (assume uniform) of the dragster.

Answer 19

a = 15.8 m/s/s

Question 20

With what speed in miles/hr (1 m/s = 2.23 mi/hr) must an object be thrown to reach a height of 91.5 m (equivalent to one football field)? Assume negligible air resistance.

Answer 20

vi = 94.4 mi/hr