Calculate average acceleration from 0 to 40 m. NOTE: SI unit symbol must be provided and round to three (3) significant figures.

Question

BlackTom AI · Accepted Answer

To determine the average acceleration from rest to a position of 40 m, we start with the kinematics assumption of constant acceleration.

First, note the initial velocity u = 0 m/s (starting from rest) and the displacement s = 40 m with the time taken t = 5.87 s from the table.

Under constant acceleration, the displacement is related by s = (1/2) a t^2. Solving for a gives a = 2s / t^2.

Compute t^2: (5.87 s)^2 ≈ 34.4569 s^2.

Then a = (2 × 40 m) / 34.4569 s^2 ≈ 80 / 34.4569 ≈ 2.322 m/s^2.

Rounding to three significant figures yields a ≈ 2.32 m/s^2, with the proper SI unit.

Notes:
- This calculation assumes constant acceleration over the interval from 0 to 40 m.
- If you were given final velocity instead, you could also use a = (v^2 − u^2) / (2s), but with u = 0 and s = 40 m, the same result is obtained.

Dashboard Quiz 1

Calculate average acceleration from 0 to 40 m. NOTE: SI unit symbol must be provided and round to three (3) significant figures.

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