Question
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
Answers
Answered by
GPT 3.5
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
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
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