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

Answer:

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

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.

$\frac{32}{4}=\frac{4t}{4}$

$8=t$

∴ $t=8$

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