A rock is thrown off a bridge into the water. The path of the rock can be modeled by the function h=-4.9t^2 +18t +15 where h=height in metres and t=time in seconds. a. When will the rock hit the water? b. For how long will the rock be above 20m? c. What is the maximum height that the rock reaches?

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: Assume that X represents the amount of weekly rainfall and Y represents the amount of weekly grass…

A: The coefficient of determination, Ro = 0.45 Let, X represents the amount of weekly rainfall and Y…

Q: A bathtub that intially holds 65 gallons of water starts draining at rate of 8 gallons per minute.…

A: Construct a function for the number of gallons of water W (t) in the tub after t minutes of draining…

Q: D.FFerenticate the function. y = ( 7 x-6) ³ 10d to у

A:

Q: The price of 1 L of gasoline is $1.85. On a level road, Bruce's car uses 0.08 L of fuel for every…

A:

Q: The height of an object, h, in feet when dropped from a height of 1250 feet is given by the function…

A: The given problem is to find the height of the object after 8.5 seconds being dropped from the given…

Q: y = -2r + 5t + 7 y represents the volume of water in the tank in gallons and t represents the time…

A: y = -2t2+5t+7for maximum volume , dydt= 0 -4t +5=0t= 1.25 days

Q: 8. A car manufacturer determines that its profit odeled by the function P(x) = 0.00125x4 + x - 3, wi…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Given S= -10T^2+4. Is S a function of T? Explain your choice using the definition of a function.

A: Given,    S= 10T² + 4   Yes, here S is function of T.  Thus, S = f(T) = 10T² + 4

Q: The average water level in a retention pond is 6.8 ft. During a time of drought, the water level…

A: We will solve the following.

Q: ball is thrown in the air from the top of a building. Its height, in meters above ground, as a…

A: The equation of the height of the ball is ht=-4.9t2+14t+8, where height is in meters and t is in…

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: NASA launches a rocket at �=0 seconds. Suppose its height, in meters above sea-level, as a function…

A: The objective of the question is to find the maximum height reached by the rocket. This can be found…

Q: 0001.08x  describes the growth of an investment (in dollars) based on the number of years it's been…

A: Basic calculation