Word problem help??

Question

Jessica and Eric are playing catch. Jessica toss the ball to Eric I am initial velocity of 40 ft. Per second at an angle of 45°

from the height of 4 feet Jessica is 30feet from Eric. how high above the ground will the ball be when it is to Eric round all answers to the nearest hundredths

Answer 1

Parametric equations for the path of the ball:

X = 40t cos(45)

Y = -16t^2+ 40t sin(45) + 4

Solve for t when x = 30. 30 = 40 t sin(45)

t = 30 / (40 sin(45))

Use this value of t in the equation for Y;

Y = -16( 30 / (40 sin(45)) )^2 + 40( 30 / (40 sin(45))) sin(45) + 4