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

1 answer

The kinematic equation that would be most useful for finding the marker's initial velocity is the equation that relates the final velocity, initial velocity, time, and acceleration:

v = u + at

where:
v = final velocity (-2.5 m/s),
u = initial velocity (unknown),
a = acceleration (can be assumed as the acceleration due to gravity, which is approximately -9.8 m/s^2), and
t = time (5 seconds).

By rearranging the equation, we can solve for the initial velocity:

u = v - at

Plugging in the known values:

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