A runner accelerates to a velocity of 5.36 m/s due west in 3.00 s. His acceleration is 0.640 m/s/s, also due west. What is his initial velocity?
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Given, acceleration of the runner, a = 0.640 m/s²
Final velocity of the runner, v = 5.36 m/s
Time, t = 3 s
Let the velocity of the runner be u when he began accelerating.
Using the first equation of motion,
v=u+at
Substituting the values we get,
5.36= u + 0.64*35.36=u+0.64∗3
u=5.36-1.92u=5.36−1.92
=3.44 m/s
The velocity of the runner when he began accelerating is 3.44 m/s.
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