Question

CAN SOMEONE HELP ME ASAP?! WILL FAN AND GIVE MEDAL
The function H(t) = -16t2 + 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 96 feet with an initial velocity of 80 feet per second. Create an equation to find the time taken by the projectile to fall on the ground. (2 points)

Answer 1

Part B: What is the maximum height that the projectile will reach? Show your work. (2 points)

Part C: Another object moves in the air along the path of g(t) = 31 + 32.2t where g(t) is the height, in feet, of the object from the ground at time t seconds.

Use a table to find the approximate solution to the equation H(t) = g(t), and explain what the solution represents in the context of the problem? [Use the function H(t) obtained in Part A, and estimate using integer values] (4 points)

Part D: Do H(t) and g(t) intersect when the projectile is going up or down, and how do you know? (2 points)

Answer 2

@Shiva_ have you attempted to start the problem yet? If so, mind sharing what you're done so far?

Answer 3

Ive been looking at the problem and I dont seem to understand how to start, I now I have to make a function but I'm not sure how to make one

Answer 4

Do you understand what each variable represents? Suppose you were working on this question with a classmate or your friend who was also struggling with the question and they asked you What v, s t, and H(t) represents. How would you respond?