Answers:
Final Velocity = 20 m/s
Distance Traveled = 50 meters
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Explanation:
The truck starts from rest, so its initial starting velocity is 0 m/s. I'll denote this as Vi = 0.
The final velocity is what we want to find, so we want to solve for Vf.
The acceleration is a = 4 m/s^2.
The change in time is t = 5 seconds.
So,
a = (Vf - Vi)/(t)
4 = (Vf - 0)/5
4*5 = Vf
20 = Vf
Vf = 20
The final velocity is 20 m/s.
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Now let's calculate the distance traveled using the following kinematics equation:
d = 0.5*(Vi+Vf)*t
d = 0.5*(0+20)*5
d = 0.5*(20)*5
d = 10*5
d = 50
The truck travels a total distance of 50 meters.
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This is another way to calculate the distance traveled where we don't need to find Vf
d = Vi*t + 0.5*a*t^2
d = 0*5 + 0.5*4*5^2
d = 0 + 2*25
d = 50
However, since your teacher wanted you to compute Vf, I think you should stick to the previous set of steps.
