How to Calculate Velocity with Acceleration and Displacement Data

How can we calculate the velocity of a body after traveling a certain distance with given acceleration?

A body accelerates uniformly from rest at 2m/s^2. Calculate its velocity after traveling 9m.

Answer:

The final velocity of the body is 6 m/s.

To solve this question, we can use one of the kinematic equations. Let's go over what variables we know and what we are trying to find. We know the acceleration (a = 2m/s²), the displacement (Δx = 9m), and the initial velocity (v1 = 0 m/s). We are trying to find the final velocity, v2.

The equation that uses all of these variables is the following:

v2² = v1² + 2*a*Δx

If we plug in the given values and simplify, we get:

v2² = 2*(2)*(9)

v2² = 36

Finally, we can take the square root of both sides to get:

v2 = 6 m/s

Therefore, the answer is 6 m/s.