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Toranc3
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Homework Statement
The driver of a car wishes to pass a truck that is traveling at a constant speed of 20m/s. Initially, the car is also traveling at 20m/s and its front bumper is 24m behind the trucks rear bumper. the car accelerates at a constant 0.600 m/s^2 , then pulls back into the trucks lane when the rear of the car is 26m ahead of the trucks front. the car is 4.5m long and the truck is 21m long.
a.) how much time is required for the car to pass the truck?
Homework Equations
x=xo+vo*t+1/2*a*t^(2)
The Attempt at a Solution
Car:
xc=xo+vo*t+1/2*a*t^(2)
xc=20m/s*t + 0.300m/s^(2)*t^(2)
Truck:
xt=xo+vo*t+1/2*a*t^(2)
xt=49.5m+20m/s*t
xt=xc
49.5m+20m/s*t=20m/s*t + 0.300m/s^(2)*t^(2)
I get t=12.8 seconds but the answer is 15.9seconds. What did I do wrong?
I equated the equations to find out when they are both at the same position.