A particle having initial velocity 5 ms⁻¹ moves with a constant acceleration of 2 ms⁻² for 10 s. Find the displacement of the particle in the last 1…

Question

A particle having initial velocity 5 ms⁻¹ moves with a constant acceleration of 2 ms⁻² for 10 s. Find the displacement of the particle in the last 1 second.

Answer 1

A particle having initial velocity 5 ms⁻¹ moves with a constant acceleration of 2 ms⁻² for 10 s. Find the displacement of the particle in the last 1 second.

32 m
150 m
24 m ✓
126 m

Explanation

The last second is from t = 9 s to t = 10 s. Find the displacement up to each time with s = ut + ½at².

At 10 s: s = 5 × 10 + ½ × 2 × 10² = 50 + 100 = 150 m.

At 9 s: s = 5 × 9 + ½ × 2 × 9² = 45 + 81 = 126 m.

Displacement in the last second = 150 − 126 = 24 m. The 150 m option is the whole 10 s, not just the last second.

Was this explanation helpful?

Something wrong or missing? Tell us — we read every report and fix issues fast.