1) Your are sitting in your car, which is standing at the side of the road with

Question

1) Your are sitting in your car, which is standing at the side of the road with the engine idling. In the rearview mirror, you see one of your class mates approaching on a bicycle on the sidewalk. The moment the other student passes you, you start accelerating at 2.97 m/s2, while the bicycle continues to move along at a constant speed of 10.4 m/s. After what distance will you catch up with your classmate?

2) You throw a ball straight into the air from a height of 4 feet and with a speed of 5.54 m/s. The moment the ball leaves your hand you start running away at a speed of 3.31 m/s. How far are you from the ball, the moment it hits the ground?

Explanation / Answer

1.

When Car cathches the bike,both car and bike have travelled equal distance.So

Distance travelled by bike =Distance covered by the car

Vt =(1/2)at2

=>t=2V/a =2*10.4/2.97

t=7 s

so Distance travelled by both car and bike to catch up is

D =Vt =10.4*7

S=72.8 m

2.

1 feet =0.3048 m

So Distance travelled by the ball

S=4*0.3048 =1.22 m

Time Taken for the ball to hit the ground

S=Ut+(1/2)at2

-1.22 =5.54t+(1/2)*(-9.8)*t2

4.9t2-5.54t-1.22 =0

so t=1.32 s

so Distance travelled by me

D=V*t =3.31*1.32

D=4.37 m

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