Question

An object accelerates to a velocity of 47 m/s over a time of 2 s. The acceleration it experienced was 10 m/s². What was its initial velocity? ​

Answer 1

To determine the initial velocity of an object with given final velocity, acceleration, and time, the formula for uniform acceleration is used. The object's initial velocity is found to be 27 m/s.

Step-by-step explanation:

The question involves finding the initial velocity of an object given its final velocity, acceleration, and the time it took to reach that final velocity. Using the formula for uniform acceleration:

Final velocity (v) = Initial velocity (u) + Acceleration (a) × Time (t)

We have the final velocity (v = 47 m/s), the acceleration (a = 10 m/s²), and time (t = 2 s). Plugging these values into the formula and solving for the initial velocity (u) gives:

47 m/s = u + 10 m/s² × 2 s

u = 47 m/s - 20 m/s

u = 27 m/s

Therefore, the initial velocity of the object was 27 m/s.