Question

A baseball player is riding a train. He throws a 100 mile/hour fastball in the direction of motion of the train. The train is traveling at a speed of 50 miles/hour with respect to the ground. How fast is the baseball traveling with respect to the ground?

A. Slightly less than 150 miles/hour
B. Exactly 150 miles/hour
C. Slightly more than 150 miles/hour

Answer 1

B.Exactly 150 miles/hour

Explanation:

We are given that

Velocity of ball with respect to train,
`v_(bt)=100 miles/hour`

Velocity of train=
`v_t=50 miles/hour`

We have to find the velocity of baseball travelling with respect to ground.

Velocity of ball with respect to train=Velocity of ball with respect to ground-Velocity of train

Velocity of ball with respect to ground=Velocity of ball with respect to train+Velocity of train

Substitute the values

Velocity of ball with respect to ground=100+50

Velocity of ball with respect to ground=150 miles/hour

Hence,option B is true.

B.Exactly 150 miles/hour