Acceleration varies as a = 2t m s⁻². If initial velocity is zero, find the velocity at t = 3 s using area under the a-t curve.
Options

Question

Acceleration varies as a = 2t m s⁻². If initial velocity is zero, find the velocity at t = 3 s using area under the a-t curve.

G1 Physics · Accepted Answer

Change in velocity equals area under the acceleration-time curve: Δv = ∫₀³2t dt = [t²]₀³ = 9 m s⁻¹. Since initial velocity is zero, final velocity = 9 m s⁻¹.