A marker is rolled horizontally off the top of a table. after 5 econds the marker lands on the ground with a final velocity of -2.5 m/s which kinematic equation would be most useful for finding the balls initial velocity (Assume a=-9.8 m/s^2)

Answer 1

The appropriate kinematic equation for finding the ball's initial velocity would be:

v_f = v_i + at

Where:
- v_f is the final velocity (in this case, -2.5 m/s)
- v_i is the initial velocity (unknown)
- a is the acceleration due to gravity (-9.8 m/s^2)
- t is the time elapsed (5 seconds)

Rearranging the equation to solve for v_i:

v_i = v_f - at

Substituting the given values:

v_i = -2.5 m/s - (-9.8 m/s^2)(5 s)
v_i = -2.5 m/s + 49 m/s
v_i = 46.5 m/s

Therefore, the initial velocity of the marker is 46.5 m/s.