a automobile and a truck start from rest at the same time, with the automobile i

Question

a automobile and a truck start from rest at the same time, with the automobile initially at some distance behind the truck. The truck has a constant acceleration of 2.00 m/s^2, and the automobile an acceleration of 2.4m/s^2. The automobile overtakes the truck after the truck has moved 150 m. (a) how much time does it take the automobile to overtake the truck?(b) how far was the automobile behind the truck initially?(c) the horizontal distance from the base of the building to the point where the rock hits the ground

Explanation / Answer

a) Equation of motion for truck

t = sqrt [2 Sr / ar] = sqrt [2 * 150 / 2.00]

t = 12.25 s

b) Motion of car Sc = ac t2 / 2

= (2.4 * 12.252 ) / 2 = 180 m

L = Sc - Sr = 180 - 150

= 30 m

[part c is not related to this question]

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.