Mixed Acceleration and Acceleration with Displacement Problems

0.712 m/s²

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

- 1,084,000 m/s² (wow!)

A bullet is moving at a speed of 367 m/s when it embeds into a thick block of wood. By cutting open the wood, the testers found the bullet had gone 0.0621 meters in before stopping (about 2.5 inches) Determine the acceleration of the bullet as it was stopped by the wood.

8.10 m/s²

A car starts from rest and accelerates over a time of 5.21 seconds for a distance of 110 m. What is the acceleration of the car?

28.6 m

A car traveling at 22.4 m/s skids to a stop in 2.55 seconds. Determine the skidding distance of the car. (Fun fact: By looking at skid marks left at accident sites, police can use physics to estimate how fast a car was going)

15.8 m/s²

A dragster accelerates to a speed of 112 m/s over a distance of 398 m! Determine the acceleration of the dragster.

11.2 m/s² , 79.6 m

A race car accelerates from 18.5 m/s to 46.1 m/s in 2.47 seconds. Determine the acceleration of the car and the distance covered during this time.

1720 m

An airplane accelerates down a runway at 3.20 m/s² for 32.8 s until it finally lifts off the ground. Determine the distance traveled before takeoff.

704 meters long

An engineer is designing the runway for an airport. The plane there with the lowest acceleration can speed up at a rate of 3.0 m/s². The takeoff speed of this airplane is 65 m/s. If the plane starts from rest, what is the shortest allowed length of the runway?

0.869 s

Elon Musk drops a wrench on Mars from a height of 1.40 meters. The gravitational acceleration of the wrench on Mars is less than on Earth. It is -3.711 m/s². Determine the time for the feather to fall to the surface of Mars.

247 m/s² , 399 m

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 1.80 seconds, then what is the acceleration and what is the distance that the sled travels?