Question

The function H(t) = -16t^2 + vt + s shows the height H (t), in feet, of a projectile launched vertically from s feet above the ground after t seconds. The initial speed of the projectile is v feet per second. Part A: The projectile was launched from a height of 82 feet with an initial velocity of 60 feet per second. Create an equation to find the time taken by the projectile to fall on the ground. Part B: What is the maximum height that the projectile will reach? Show your work.

Answer 1

H(t) = -16t^2 + vt + s
Part A:
Using the given data:

H(t)= -16*t² + 60*t + 82;

Part B:
Put H(t)=0
0= -16*t² + 60*t + 82;
Use the quadratic formula to find t.
See the attachment...'t' is replaced with 'x'.