Asked by Bethany
A car traveling at a constant speed of 33 m/s passes a trooper hidden behind a billboard. One second later the trooper starts the car with a constant acceleration of 2.62 m/s^2.
How long after the trooper starts the chase does he overtake the speeding car? (answer in units of s)
How long after the trooper starts the chase does he overtake the speeding car? (answer in units of s)
Answers
Answered by
Henry
d1 = Vo*(t+1) + 0.5at^2,
d1 = 33(t+1) + 0.5*0*(t+1)^2,
d1 = 33(t+1) + 0 = 33t + 33.
d2 = 0 + 0.5*2.62*t^2,
d2 = 1.31t^2.
d1 = d2,
33t + 33 = 1.31t^2,
1.31t^2 - 33t - 33 = 0,
Solve using Quadratic Formula and get:
t = 26.15s, and -0.96s.
Use the positive valuie:
t = 26.15s.
d1 = 33(t+1) + 0.5*0*(t+1)^2,
d1 = 33(t+1) + 0 = 33t + 33.
d2 = 0 + 0.5*2.62*t^2,
d2 = 1.31t^2.
d1 = d2,
33t + 33 = 1.31t^2,
1.31t^2 - 33t - 33 = 0,
Solve using Quadratic Formula and get:
t = 26.15s, and -0.96s.
Use the positive valuie:
t = 26.15s.
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