Question

A body starts from rest and moves with a uniform of 4 m/s2 until it travels a distance of 800 m. What is its final velocity?

Answer 1

To find the final velocity of the body, we can use the following equation of motion:

$v^2=u^2+2as$

where:

• $v$ is the final velocity
• $u$ is the initial velocity (which is 0 m/s since the body starts from rest)
• $a$ is the acceleration (given as 4 m/s${}^2$)
• $s$ is the distance traveled (given as 800 m)

Plugging in the values into the equation, we have:

$v^2=0^2+2\times 4\times 800$

Simplifying the equation, we get:

$v^2=6400$

Taking the square root of both sides to solve for $v$, we have:

$v=\sqrt{6400}=80$

Therefore, the final velocity of the body is 80 m/s.