A stone is thrown in the air from the top of a building. Its height, in meters above ground, as a function of time, in seconds, is given by h(t) =-1.5t2 + 6t +9. (a)How long does it take to reach maximum height? (b) Find the maximum height the stone reaches.

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

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: T represent the number of years in 2000. I’m 2005 t= 5 there were 9.3 billion monthly text messages.…

A: Given function :

Q: The number of Instagram monthly active users (in millions) between 2013 and 2015 can be modeled…

A: The number of instagram monthly active users between 2013 and 2015 be the…

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 young boy shoots a rocket off of a table and the height of the rocket in meters is given by h(t) =…

A: Here we have to find the time and height.

Q: noon, a large pool contains only 26 gallons of water. A hose is set up so that the pool is filled at…

A: Introduction: We use the term "Rate" to describe the comparison and ratio of two separate…

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

A: Function :

Q: The annual sales of Amazon since 2015 can be modeled by the function s(t)=(2t+7)2+43 where t is…

A: Given that annual sales of Amazon since 2015 can be modelled by the function s(t)=(2t+7)2+43 , where…

Q: Park rangers introduce 50 elk into a wildlife preserve. The function 250(3t + 5) f(t) = t + 25…

A: Given that, The function of population is f(t)=2503t+5t+25

Q: The daily number of requests,f(x), for a song that a local radio station receives can be modeled by…

A: Given that The daily number of requests,f(x), for a song that a local radio station receives can be…

Q: The pedals of a bicycle are mounted on a bracket whose centre is 29.0 cm above the ground. Each…

A: Centre is 29 cm above the groundEach paddle is 17 cm from the bracketBicycle is padalled at 10…

Q: Keyla went to the top of a bridge, threw a water balloon up into the air and watched it crash on the…

A: The height of balloon follow the following equation f(x) = - (x-4)2 +20

Q: A punter kicks a football. Its height in meters is given by the function, h(t) = - 4.9t ^ 2 + 18.42t…

A: Given h(t)Football   = - 4.9t ^ 2 + 18.42t + 0.8   h(t)Blocker Hand    = - 2.21t + 7.45

Q: How do you use a formula to express a record time (63.2 seconds) as a function since 1950? (t=time…

A: