An object is moving due south at 16 m/s, when a force accelerates it at 4m/s in a southernly direction. How long will it take fo

Question

3 years ago

5

r the object to reach a velocity of 48m/s south?

1 answer:

son4ous [18] · Answer 1 · 2022-07-08T15:53:04+03:00

The object takes 8 s to reach a velocity of 48 m/s south

Explanation:

Since the motion of the object is a uniformly accelerated motion, we can use the following suvat equation:

v = u + at

where

v is the velocity at time t

u is the initial velocity

a is the acceleration

t is the time

For the object in this problem, choosing south as positive direction, we have:

u = 16 m/s

v = 48 m/s

$a=4 m/s^2$

So we can solve the equation for t to find the time taken for the velocity to change from 16 m/s to 48 m/s:

$t=\frac{v-u}{a}=\frac{48-16}{4}=8 s$

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