Aball rolls across a floor with an acceleration of 0.100 m/s2 in a direction opposite to its velocity. the ball has a velocity of 4.00 m/s after rolling a distance 6.00 m across the floor. what was the initial speed of the ball?

4.15 m/s

Explanation:

Its given that acceleration is 0.1 m/s² with a direction opposite to the velocity. Since, the direction of acceleration is opposite to the velocity, this gives us a hint that the velocity is decreasing and so acceleration would be negative.

i.e.

acceleration = a = - 0.1 m/s²

Distance covered = S = 6m

Velocity after covering 6 meters = Final velocity = = 4 m/s

We need to find the initial speed, which will be the same as the magnitude of initial velocity.

Initial velocity = =  ?

3rd equation of motion relates the acceleration, distance, final velocity and initial velocity as:

Using the known values in the formula, we get:

Thus, the initial speed of the ball was 4.15 m/s

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