C. A car capable of a constant acceleration of 3 m/s 2 is stopped at a tra?c lig

Question

C. A car capable of a constant acceleration of
3 m/s
2
is stopped at a tra?c light. When
the light turns green, the car starts from rest
with this acceleration. At the very same moment, a truck traveling with constant velocity 13.8 m/s passes the car.
As the car’s velocity increases, it will eventually move faster than the truck and later
overtake it. How far from the light will the
car catch up with the truck?
Answer in units of m

D. A rock thrown straight up with a velocity of
24 m/s from the edge of a building just misses
the building as it comes down. The rock is
moving at 53 m/s when it strikes the ground.
How tall was the building? The acceleration of gravity is 9.8 m/s
2
.
Answer in units of m

Explanation / Answer

let at time t & distance x truck capture the car

so x(car)=0+3*t2/2

x(truck)=13.8*t

now x(car)=x(truck)

t=9.2sec

x=13.8*t

=126.96m

(d)u=24m/s

v=53m/s

let height =h

v2=u2+2*g*h

h=113.92m

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