Understanding Acceleration in Physics

How do we calculate acceleration in physics?

Given the data that a car accelerates uniformly from rest to 25 m/s over a distance of 30 meters, what is the acceleration of the car?

Calculation of Acceleration

To calculate acceleration, we can use the formula a = v/t where a represents acceleration, v is the change in velocity, and t is the change in time. In this scenario, a car starts from rest and accelerates to a velocity of 25 m/s over a distance of 30 meters.

Given:

Initial velocity (u) = 0 m/s

Final velocity (v) = 25 m/s

Distance (s) = 30 meters

Using the equation of motion:

v^2 = u^2 + 2as

(25)^2 = (0)^2 + 2a(30)

625 = 60a

Therefore, a = 625/60 = 10.41 m/s^2

Hence, the acceleration of the car is 10.41 m/s^2.

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