Abel is not sure why, from h = vi2 sin2 θi 2g , the height the tennis ball reaches is maximum when θi = 90°, and asks kato to explain. which of kato's responses is correct? "when θi = 90°, sin2 θi = sin(2θi) = 1, which is its maximum value, so h is maximum." "when θi = 90°, sin2 θi is maximum, so h is maximum." "when θi = 90°, sin θi = 1, sin2 θi = 2 · 1 = 2, which is its maximum value, so that means h is maximum." "when θi = 90°, sin2 θi is minimum, so h is maximum."

90°

Explanation:

the formula for the maximum height is given by

where, vi be the initial speed with which the ball if projected, θθis the angle of projection, g be the value of acceleration due to gravity.

To get the maximum value of height, the angle of projection should be maximum,

The maximum value of Sine function is 1. So,

Sinθ = 1

θ = 90°

Thus, the height is maximum when the angle of projection is 90°.

the body's situation won't change the forces are equal opposit and on the same body