Question

A ball is thrown vertically upwards with a velocity of 29.5 m/s. How high will the ball rise (in meters)? (use g = 10 m/s²)

A. 20.5 m
B. 31.5 m
C. 43.5 m
D. 56.5 m

Answer 1

The answer is option C.

To determine the height that the ball will rise, we can use the equations of motion for vertical motion. Given that the ball is thrown vertically upwards with an initial velocity of 29.5 m/s and acceleration due to gravity is 10 m/s², we can solve for the displacement using the equation vf² = vi² + 2ad. After substituting the values and solving for d, the ball will rise to a height of approximately 43.51 meters.

Step-by-step explanation:

To determine the height that the ball will rise, we can use the equations of motion for vertical motion.

Given that the ball is thrown vertically upwards with an initial velocity of 29.5 m/s and acceleration due to gravity is 10 m/s², we can use the equation:

vf² = vi² + 2ad

• vf = final velocity = 0 m/s (at maximum height)
• vi = initial velocity = 29.5 m/s
• a = acceleration = -10 m/s² (negative because the ball is decelerating)
• d = displacement = ?

By substituting the provided values into the equation, we can solve for the displacement:

0² = (29.5)² + 2(-10)d

Simplifying the equation:

0 = 870.25 - 20d

Solving for d:

d = 870.25/20

= 43.51 m

Therefore, the ball will rise to a height of approximately 43.51 meters.