Question

HELP PLEASE WITH PHYSICS :/

Answer 1

A soccer player kicks the ball at an initial velocity of 20.0 m/s^2 at an angle of 37.0

Answer 2

Calculate the magnitude of his horizontal velocity when the ball reaches its maximum height,

How far does the ball land?

Answer 3

First, we need to break the initial velocity up into its vertical (y) and horizontal (x) components. Do this and we'll move on.

Answer 4

\[x=v_{0x}t+\frac{1}{2}a_{x}t^{2}\] since acceleration in x is 0:
\[x=v_{0x}t~Equation~1\]
\[v_{y}=v_{0y}+gt\]
\[t=(v_{y}-v_{0y})/g\]
\[t=(v_{y}-v_{0y})/g\] since the y velocity at the midpoint of the projectile motion is zero (stationary):
\[t=-v_{0y}/g~Equation~2\]
Solve the system of Equation 1 and Equation 2:
\[x=-v_{0x}v_{0y}/g=-v_{0}cos(\theta)v_{0}sin(\theta)/-9.80~m/s^{2}\]
\[x=20~m\]