Question

An Object is moving due south at 16 m/s, when a force accelerates it at 4m/s in a southerly direction. How long will it take for the object to reach a velocity of 48 m/s south. Please help me out.

Answer 1

Time taken to accelerate to 48 m/s = 8 seconds

Step-by-step explanation:

Initially the object is moving south at =
`16 m/s`

So, initial velocity of the object =
`16 m/s`

Acceleration caused by the force = 4
`m/s^2`

Final velocity towards south =
`48 m/s`

Using equation of motions:

`v_f=v_i+at`

where

`v_f\rightarrow` final velocity

`v_i\rightarrow` initial velocity

`a\rightarrow` acceleration

`t\rightarrow` time

Plugging in values.

`48=16+(4)t`

`48=16+4t`

Subtracting both sides by 16

`48-16=16+4t-16`

`32=4t`

Dividing both side by 4.

`(32)/(4)=(4t)/(4)`

`8=t`

∴
`t=8`

Time taken to accelerate to 48 m/s = 8 seconds