A football quarterback runs 15.0 m straight down the playing field in 2.30 s. He

Question

A football quarterback runs 15.0 m straight down the playing field in 2.30 s. He is then hit and pushed 3.00 m straight backward in 1.74 s. He breaks the tackle and runs straight forward another 22.0 m in 5.20 s. (a) Calculate his average velocity (in m/s) for each of the three intervals. (Assume the quarterback's initial direction is positive. Indicate the direction with the sign of your answer.) v_1 = m/s v_2 = m/s v_3 = m/s (b) Calculate his average velocity (in m/s) for the entire motion. (Assume the quarterback's initial direction is positive. Indicate the direction with the sign of your answer.) m/s

Explanation / Answer

a]

v1 = x/t = 15/2.3 = 6.522 m/s

b] x = - 3 m

t = 1.74s

so, v2 = -3/1.74 = - 1.724 m/s

c] x = 22 m

t = 5.2s

so, v3 = 22/5.2 = 4.231 m/s

d]

x = 15 - 3 + 22 = 34 m

t = 4.04 + 5.2 = 9.24s

so, vavr = 34/9.24 = 3.680 m/s

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