Solveeit Logo

Question

Question: A boat of mass 300 kg moves according to the equation x = 1.2 t<sup>2</sup> – 0.2 t<sup>3</sup>. Whe...

A boat of mass 300 kg moves according to the equation x = 1.2 t2 – 0.2 t3. When the force will become zero?

A

2s

B

1 s

C

6s

D

2.8 s

Answer

2s

Explanation

Solution

dxdt=2.4t0.6t2\frac{dx}{dt} = 2.4t - 0.6t^{2} and

d2xdt2=2.41.2t=0\frac{d^{2}x}{dt^{2}} = 2.4 - 1.2t = 0or t = 2s.