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Answer to Question #9907 in Mechanics | Relativity for Franconise Charles

Question #9907
An automobile and a truck start from rest at the same instant,with the automobile initially at some distance behind the truck.The truck has a constant acceleration of 2.20m/s2,and the automobile has an acceleration of 3.50m/s2.The automobile overtakes the truck after truck has moved 60.0m.
a)How much time does it take the automobile to overtake the truck?
b)How far the automobile behind the truck initially?
c)What is the velocity of each when they are next to each other?.
Expert's answer
a)How much time does it take the automobile to overtake the truck?
After t
seconds, the truck moved:
60.0 = 0.5*2.20 * t^2, so t = sqrt(2*60.0 / 2.20) =
approx. 7.385 s.

b)How far the automobile behind the truck
initially?
Let that distance was n meters.
When they met, automobile
moved:
60.0 + n = 3.50 * t^2 = 3.50 * 27.2727 = 95.4545 m, so
n = 95.4545 - 60.0 = 35.45 m.

c)What is the velocity of each when they are next to
each other?.
Truck: Vt = at * t = 2.20 * 7.385 = 16.25 m/s.
Automobile:
Va = aa * t = 3.50 * 7.385 = 25.85 m/s.

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Comments

Assignment Expert
17.02.17, 18:35

0.5*t^2 = 0.5*7.385^2 = 27.27

Anon
16.02.17, 22:34

how did you get 27.2727 ?

Assignment Expert
10.02.16, 17:50

Dear Chris, find fixed answer in the attachment.

Chris
04.02.16, 21:52

These are horribly wrong.

Assignment Expert
25.01.16, 14:20

Dear Secret
Please write a new question
Best regards

Smith
25.01.16, 05:27

Shouldn't part a be 60 = (1/2)2.2t^2? Missing a one-half there.

Secret
23.01.13, 15:56

Can you p[lease solve this. I hardly can't answer it. Pleaseee

A car and a truck start from rest at the same instant with the car initially at some distance behind the truck. The truck has a constant acceleration of 3.4 m/s^2. The car overtakes the truck when the truck has moved a distance of 40.0 m.
a. a)How much time does it take the car to overtake the truck? b)How far the car behind the truck initially? c)What is the velocity of each when they are next to each other?

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