Question

How far will a 600 kg boat travel in 12 s if there is a constant 900 N force on it and it starts from rest?

Answer 1

108 metres

Step-by-step explanation:

Given

`Force = 900N`

`Mass = 600kg`

`Time = 12s`

Required

Determine the distance moved

First, we need to determine the acceleration.

`Force = Mass * Acceleration`

`900N = 600kg * a`

Solve for a

`a = 900/600`

`a = 1.5m/s^2`

Next, we determine the distance using:

`S = ut + (1)/(2)at^2`

Since it starts from rest,

`u = 0`

`t = 12`

`a = 1.5`

So:

`S = 0 * 12 + (1)/(2) * 1.5 * 12^2`

`S = (1)/(2) * 1.5 * 144`

`S = (1)/(2) * 216`

`S = 108m`