Suppose that an object is thrown upward with an initial velocity of 64 feet per second off the edge of a 960-foot cliff. The height h(t) in feet of the object after t seconds is given by the function h(t) = -16t ²+64t+960. Find the height of the object at t = 0 seconds t = 3 seconds t = 6 seconds t = 9 seconds Explain why the height of the object increases and then decreases as time passes

The number of Corona virus cases in a specific country is approximated by the function P(t) = 5.3e-0.085t²+0.75t with t in months since March 2020. Use a number line to determine when the number of cases started to decrease?

Suppose a rumor is spreading that the government plans to give each college student $1000. Asssume that 20 people have heard the rumor as of today and that each day the number of people (past and present) who have heard it triples. Let f(t) be the number of people (past and present) who have heard the rumor at t days since today. a. Find an equation of f. b. How many people (past and present) will have heard the rumor 10 days from now? c. How many people (past and present) will have heard the rumor 15 days from now? Has model breakdown occurred? [Hint: Assume that the population is 112 million.] a. Find an equation of f. f(t) = ¹ b. How many people (past and present) will have heard the rumor 10 days from now? people c. How many people (past and present) will have heard the rumor 15 days from now? people Has model breakdown occurred? A. Model breakdown has occurred because the value for f(15) is greater than the population. B. Model breakdown has not occurred because the value for…

A ball is thrown downward with a speed of 14 ft/s from the top of a 196-foot-tall building. After t seconds, its height above the ground is given by s(t) = -28t2 - 14t + 196. (@) Determine how long it takes for the ball to hit the ground. sec (b) Determine the velocity of the ball when it hits the ground. ft/sec

What is the maximum height of the ball and when does it hit the ground if a ball is thrown with a velocity of 40ft/s, its height (in feet) after t seconds is given by h(t)=-16t2+40t.