A Car Accelerates Uniformly - Determining Acceleration

A Car Starts from Rest and Accelerates Uniformly

A car starts from rest and accelerates uniformly over a time of 10.21 seconds for a distance of 210 m. We need to determine the acceleration of the car in this scenario.

Answer:

Acceleration: 4.03 m/s²

Explanation:

We can use the formula for uniformly accelerated motion, which relates distance, acceleration, and time: d = 1/2 * a * t^2

Given data:

Distance (d) = 210 m

Time (t) = 10.21 s

Using the above formula and plugging in the values:

210 = 1/2 * a * (10.21)^2

210 = 52.1 * a

By solving for acceleration (a), we get:

Acceleration (a) = 4.03 m/s²