Question

A tennis player tosses the tennis ball up in the air from a height of 1.2 m. If its initial velocity is 3.6 m/s:

a) What is the tennis ball's maximum height above the ground?
A) 2.16 meters
B) 3.6 meters
C) 1.2 meters
D) 4.8 meters

Answer 1

Using the kinematic equation for a projectile's vertical motion, the tennis ball's maximum height above the ground is 1.86 meters, which is not among the given choices, indicating a possible error in the question or the answer choices.

Step-by-step explanation:

To calculate the maximum height the tennis ball will reach, we can use the kinematic equation for vertical motion without air resistance:

0 = v^2 - 2*g*h, where v is the initial velocity, g is the acceleration due to gravity (9.8 m/s^2), and h is the height.

Let's use the details from the initial toss: the ball is thrown upwards with an initial velocity of 3.6 m/s from a height of 1.2 m.

Solving for h:
0 = (3.6m/s)^2 - 2*9.8m/s^2 * h
h = (3.6m/s)^2 / (2*9.8m/s^2)
h = 0.66m.

Now, add the initial height from which the ball was tossed to get the maximum height above the ground:
Maximum height = initial height + h
Maximum height = 1.2m + 0.66m
Maximum height = 1.86m.

However, this does not match any of the answer choices. It's important to note that there may have been some miscalculation. None of the options A) 2.16 meters, B) 3.6 meters, C) 1.2 meters, or D) 4.8 meters are correct based on our calculation.