Question

Roald is in a roller coaster car, which rapidly picks up speed as it rolls down a slope. As it starts down the slope, its speed is 4 m/s. But 3 seconds later the speed is 25 m/s. What is its average acceleration?

Answer 1

Explanation:

The initial velocity is 4 m/s and the final velocity is 25 m/s. The time taken from initial position to final position is 3 seconds. Let u be the initial velocity, v be the final velocity, t be the time taken and a be the acceleration.

Therefore, by the equation of constant acceleration, we have,

v = u + at

25 = 4 + a (3)

25 = 4 + 3a

3a = 25 - 4

3a = 21

a = 21 ÷ 3

a = 7 m/s²

Therefore, the average acceleration is 7 m/s².

Answer 2

Answer:

6m/s^2

Explanation:

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