A particle of mass 3kg moving along a straight line under the action of a F N, covers a line distance, d, at time, t, such that d = t2 + 3t. Find the magnit...

Assessment: WAEC SSCE - Further Mathematics - 2022 Subject: Further Mathematics

Question 1 Report

A particle of mass 3kg moving along a straight line under the action of a F N, covers a line distance, d, at time, t, such that d = t $^{2}$ + 3t. Find the magnitude of F at time t.

0N

2N

3(2t + 3)N

6N

Answer Details

F = m * a

d = t $^{2}$ + 3t.

a = $\frac{d^{2} d}{d t^{2}}$

$\frac{d [d]}{d t}$ = 2t + 3

$\frac{d^{2} d}{d t^{2}}$ = 2m/s $^{2}$

a = 2m/s $^{2}$

F = m * a

F = 3 × 2 = 6N

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