Question

Two cars A and B are at town P. They want to travel to town Q. Car A starts 15 minutes earlier than car B and maintains a constant speed of 20 m/s whereas car B starts from rest and maintains a constant acceleration. Car A takes 30 minutes to reach the destination. If car B wants to reach the destination at the same time the acceleration required is

Answer 1

Answer:

Distance traveled by car A=S

A

Distance traveled by car B=S

B

According to formula S=ut+

2

1

at

2

S

A

=0t+

2

1

×2t

2

S

B

=10t+

2

1

×0t

2

Car A will overtake car B when

S

A

=S

B

+100

Putting the value S

A

and S

B

+2=10t+100

+2−10t−100=0

After solving for t, we get

t=16.18sec possible

t=−6.10sec not possible

So option B is correct.