A football punker attempts to kick the football so that it lands on the ground 67.0 m from where it is kicked and stays in the air for 4.50 s.

At what angle and with what initial speed should the ball be kicked?

Assume that the ball leaves the punker’s foot at a height of 1.23 m.

To solve this problem we will apply the linear motion kinematic equations. We will find the two components of velocity and finally by geometric and vector relations we will find both the angle and the magnitude of the vector. In the case of horizontal speed we have to

The vertical component of velocity is

Here,

h = Height

g = Gravitational acceleration

t = Time

= Vertical component of velocity

The direction of the velocity will be given by the tangent of the components, then

The magnitude is given vectorially as,

Therefore the angle is 55.59° and the velocity is 26.37m/s

the reason is because the moon has some form of gravity, and that gravity pulls the ocean tides.

waves moving from a fast medium to a slow medium will experience a reflection as light travels more slowly than red light. total internal reflection occurs when the critical angle is.