Question

A race car accelerates uniformly from 19.5 m/s to 50.1 m/s in 2.47 seconds. Determine the acceleration of the car and the distance traveled.

Answer 1

To find the acceleration of the car, we can use the formula:

acceleration = (final velocity - initial velocity) / time

Plugging in the values:

acceleration = (50.1 m/s - 19.5 m/s) / 2.47 s
acceleration = 30.6 m/s / 2.47 s
acceleration = 12.4 m/s^2

So, the acceleration of the car is 12.4 m/s^2.

Next, to find the distance traveled, we can use the formula:

distance = initial velocity * time + 0.5 * acceleration * time^2

Plugging in the values:

distance = 19.5 m/s * 2.47 s + 0.5 * 12.4 m/s^2 * (2.47 s)^2
distance = 48.165 m + 0.5 * 12.4 m/s^2 * 6.1 s^2
distance = 48.165 m + 37.84 m
distance = 85.005 m

Therefore, the distance traveled by the car is 85.005 meters.