In a football game the running back is running up the field. He starts from rest and runs 4 seconds with an acceleration of 1.3m/s. What is the magnitude of his displacement

We are given:

initial velocity (u) = 0 m/s

time (t) = 4 seconds

acceleration (a) = 1.3 m/s²

displacement (s) = x m

Solving for the displacement:

from the second equation of motion

s = ut + 1/2 at²

replacing the variables with the given values

x = (0)(4) + 1/2 (1.3)(4)(4)

x = 1/2 * 20.8

x = 10.4 m

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