A car accelerates uniformly from rest to 23 m/s over a distance of 30 meters.
Calculating the Acceleration of the Car
In this scenario, a car accelerates uniformly from rest to a velocity of 23 m/s over a distance of 30 meters. We are required to determine the acceleration of the car based on the given data.
Answer:
a = 17.69 m/s2
Explanation:
Step one:
Given data
A car accelerates uniformly from rest to 23 m/s
Initial velocity (u) = 0 m/s
Final velocity (v) = 23 m/s
Distance traveled = 30 m
Step two:
We know that acceleration (a) can be calculated using the formula:
acceleration = velocity / time
Also, we know that velocity can be calculated using the formula:
velocity = distance / time
Substitute the given values:
23 = 30 / t
t = 30 / 23
t ≈ 1.30 seconds
Therefore, the acceleration of the car is calculated as:
acceleration = 23 / 1.30
acceleration ≈ 17.69 m/s2
What is the acceleration of the car? The acceleration of the car is 17.69 m/s2.