Question

A car, moving at a speed of 85 kilometers per hour, collides with a tree. The impact causes the front end to compress, and the driver eventually comes to a stop after traveling a distance of 0.80 meters. What was the average acceleration experienced by the driver during the collision? Provide the acceleration rounded to the nearest tenth and include units.

A. 10.6 m/s²
B. 5.8 m/s²
C. 7.2 m/s²
D. 8.3 m/s²

Answer 1

The average acceleration experienced by the driver during the collision is 10.6 m/s².

Step-by-step explanation:

To calculate the average acceleration experienced by the driver during the collision, we need to use the equation:

acceleration = (final velocity - initial velocity) / time

Since the driver comes to a stop after traveling a distance of 0.80 meters, we can assume that the final velocity is 0. The average acceleration experienced by the driver during the collision is 10.6 m/s². The initial velocity is given as 85 kilometers per hour, which can be converted to meters per second by multiplying by 1000/3600.

So, the acceleration = (0 - (85 imes 1000/3600)) / (0.80).

When we calculate this, we get the value of acceleration as 10.6 m/s².