The path of a swing could be modeled by the function , where h is the height in centimeters above the ground and t is the time in seconds. How many seconds does it take to reach maximum height after the person starts?a.0 seconds b.1.5 seconds c.2 seconds d.3 seconds

1. Jason jumped off a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h(t) = -16t² + 16t + 480, where t is the time in seconds and h is the height in feet.a. How long did it take for Jason to reach his maximum height?b. What was the highest point that Jason reached?c. Jason hit the water after how many seconds?

(a)The function 𝑓(𝑡)=−5𝑡2+20𝑡+60f\left(t\right)=-5t^2+20t+60f(t)=−5t 2 +20t+60 models the approximate height of an object 𝑡tt seconds after it is launched. How many seconds does it take the object to hit the ground? (Enter only the number)

Select the correct answer from each drop-down menu.A roller coaster moves along an inclined linear path before it reaches its maximum height. The car moves at a constant speed and gains 4 meters in height every 3 seconds.The slope of the line that represents the height of the car in meters in terms of time in seconds is .If the car takes 54 seconds to reach the maximum height, then the maximum height above the ground is meters.

A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function =ht−80t16t2. After how long will it reach its maximum height?Do not round your answer.

Jen served the final point before winning her tennis match! She tossed the ball up into the air from a height of 5 feet with a velocity of 22 feet per second. After the ball started to come back down, Jen hit the ball with her racket at a height of 6 feet.Which equation can you use to find how many seconds the ball was in the air before Jen hit it?If an object travels upward at a velocity of v feet per second from s feet above the ground, the object's height in feet, h, after t seconds can be modeled by the formula h=–16t2+vt+s.6=–16t2+22t+55=–16t2+22t+6To the nearest tenth of a second, how long was the ball in the air before Jen hit it? seconds