A toy rocket is fired into the air from the top of a barn. Its height h above the ground in yards after t seconds is given by the function h(t)=−5t2+10t+20. The initial height of the rocket is blank feet above the ground. The rocket reached its maximum height after blank second(s).

Q: A ball is launched straight up in the air from a height of 5 feet. Its velocity​ (feet/second) t…

A: The velocity is the rate of change of the distance with respect to the time. Hence, it can be…

Q: Use the function c=15n+5 to find the value of c when n=8.

A: It is given that the function is as follows: c=15n+5         ...(1) We have to find the value of c…

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: We are standing on the top of a 704 feet tall building and launch a small object upward. The…

A: Given h(t)=-16t2+320t+704

Q: The height (in meters) at time t (in hours) of a balloon is given the formula h(t) = -20tª + 80t.…

A: The height (in meters) of a balloon at time t (in hours) is given by ht = -20t4+80t…

Q: A helicopter is rising at a rate of 32 feet per second. At a height of 128 feet the pilot drops a…

A: Given: A helicopter is rising at a rate of 32 feet per second. At a height of 128 feet the pilot…

Q: A ball is thrown downward with a speed of 11 ft/s from the top of a 121-foot-tall building. After t…

A:

Q: The monthly revenue R (in thousands of dollars) from the sales of a digital picture frame is…

A: We have to find Revenue at different value of price .Revenue function is given by:

Q: The function f(x) = −6 sin (x + ¹) − 5 models the average rate of change in temperature of a…

A: Function :

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: Mia jumps off a cliff into the ocean in Acapulco while on vacation.  Her height, h, above the water…

A:

Q: A ball is thrown into the air with an upward velocity of 40 feet/second. Its height, h, after t…

A: