A toy rocket is shot vertically into the air from a launching pad 3 feet above the ground with an initial velocity of 56 feet per second. The height h, in feet, of the rocket above the ground at t seconds after launch is given by the function h(t) = - 16t + 56t + 3. How long will it take the rocket to reach its maximum height? What is the maximum height? The rocket reaches its maximum height at second(s) after launch. (Simplify your answer.) The maximum height reached by the object is feet. (Simplify your answer.)

Q: The height of a projectile fired vertically into the air (neglecting air resistance) at an initial…

A: The height of projectile f(x) in feet is given by f(x)=96x-16x2, where x is time in seconds. The…

Q: The graph below shows the velocity v in feet per second of a small rocket that was fired from the…

A:

Q: A student launches a toy model rocket from the top of a building. The rocket lands on a target on…

A: We need to find height and time.

Q: A soccer ball is kicked from the ground with an intitial upward velocity of 90 feet per second. The…

A: Given that a soccer ball is kicked from the ground with an initial upward velocity of 90 feet per…

Q: How long does it take for the rock to reach a ledge 80 m above the base of the cliff? If the…

A: Note: Since the student has made a typing error in typing the function, the correct function should…

Q: A golfer's tee shot follows a path given by y = 96t − 16t2, where y is the height of the ball (in…

A:

Q: The height (in meters) of a ballistic t seconds after being launched is modeled by the function h…

A: For an equation for distance, with respect to time, we can find the velocity and acceleration, by…

Q: object is tossed vertically upward from ground level. Its height  s(t),  in feet, at time t seconds…

A: Given query is to find the when object return to the point from which it was thrown.