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:

v^2 = u^2 + 2a s

where: v is the final velocity, u is the initial velocity (which is 0 in this case since the body starts from rest), a is the acceleration, and s is the distance traveled.

Given: Initial velocity (u) = 0 m/s Acceleration (a) = 4 m/s^2 Distance traveled (s) = 800 m

Plugging these values into the equation, we get:

v^2 = (0)^2 + 2 * 4 * 800 v^2 = 0 + 6400 v^2 = 6400

To find v, we take the square root of both sides:

v = √6400 v ≈ 80 m/s

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