Question

In: Physics

Two identical balls, Ball A and Ball B are thrown vertically upward. Ball A is thrown...

Two identical balls, Ball A and Ball B are thrown vertically upward. Ball A is thrown with an initial speed of v, and Ball B is thrown with an initial speed of 2v. Which of the following statement is correct? Ignore air resistance.

A. The maximum heights of the two balls are equal.

B. The maximum height of the second ball is eight times that of the first ball.

C. The maximum height of the second ball is 1.41 times that of the first ball.

D. The maximum height of the second ball is four times that of the first ball.

E. The maximum height of the second ball is two times that of the first ball.

Solutions

Expert Solution

Correct Option: D. The maximum height of the second ball is four times that of the first ball.

The two balls are thrown vertically upward.

Initial vertical velocity of ball A is

Initial vertical velocity of ball B is

At the maximum height the vertical velocities of both ball are zero

The vertical acceleration of each ball is a=-g. where g=9.81m/s².

The vertical acceleration is constant, vertical motion of the balls is governed by the kinematics equations for uniformly accelerated motion. To find maximum height we use

For both balls, final velocities and a=-g

For balls A and B

The maximum height of the second ball is four times that of the first ball.

genius_generous answered 1 year ago

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