Question

A hawk soars above the gateway building. The height of the hawk, in feet, at any...

A hawk soars above the gateway building. The height of the hawk, in feet, at any time, t in seconds is modeled by the following function h(t)=-5t^4+48t^3+28x+60

a) What was the maximum height of the hawk?

b) At what time did the hawk reach this height?

c) At a certain time, the hawk lands on the ground and the height function is no longer valid after this time. When does the hawk land on the ground?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Ryan fires a missile off a cliff toward Metropolis at a height of 240 feet above...
Ryan fires a missile off a cliff toward Metropolis at a height of 240 feet above the city. The height s(t) of the rocket above the ground (in feet) as a function of time (in seconds) can be modeled by the function s(t) = −16t2 + 32t + 240 Robin is aware of this, so he starts flying to intercept the rocket. The height of Superman’s flight can be modeled with the equation: h(t) = 48t + 144 Can Superman...
An object is launched upward from a platform so that its height (in feet) above the...
An object is launched upward from a platform so that its height (in feet) above the ground t seconds after it is launched is given by the function h(t)=-16t^2 +160t+176. a. When does the object reach its maximum height? What is the maximum height? b. When does the object hit the ground? c. What is the domain and range of this function (given the context)? d. Sketch an accurate graph of this function in an appropriate window. Mark on your...
A projectile is thrown straight upward, and its height above the ground in meters as a...
A projectile is thrown straight upward, and its height above the ground in meters as a function of time in seconds is modeled by h(t)= 04.9t^2+550t+140 How long will it take for the projectile to be both falling downward and at a height of 1,350 meters?
A coin is dropped from the top of a building. Its height s (in feet) at...
A coin is dropped from the top of a building. Its height s (in feet) at time t (in seconds) is given by ?(?)= −16?^2 + 195 Find the average velocity of the coin over the interval [1,2] Compute the instantaneous velocity of the coin when ?=1 Compute the instantaneous velocity of the coin when ?=2 At what time will the coin hit the ground? What is the velocity of the coin when it hits the ground?
11. a ball is thrown up from the ground with an initial velocity of 120 feet...
11. a ball is thrown up from the ground with an initial velocity of 120 feet per second. The height s in feet can be expressed as a function of time t in seconds by s(t)=85t-16t^2 a. when does the ball reach its maximum height b. what is the maximum height c. when does the ball hit the ground 12. a farmer has 2800 feet of fencing material with which to enclose a rectangle field that borders a straight stream....
1. A projectile is launched upward at an angle so that its distance (in feet) above...
1. A projectile is launched upward at an angle so that its distance (in feet) above the ground after ? seconds is given by the function      ?(?) = −20?2 + 105?   Round each answer to the nearest hundredth. a. When (i.e., how many seconds after launch) will the projectile reach its maximum height? _______________ b. How many seconds after launch will it take for the projectile to return to earth? _______________ c. What is the maximum height achieved by...
The height of a helicopter above the ground is given by h = 2.65t3, where h...
The height of a helicopter above the ground is given by h = 2.65t3, where h is in meters and t is in seconds. After 2.10 s, the helicopter releases a small mailbag. Assume the upward direction is positive and the downward direction is negative. a.) What is the velocity of the mailbag when it is released? b.) What maximum height from the ground does the mailbag reach? c.) What is the velocity of the mailbag when it hits the...
Answer the following questions for the given problem: A ball is thrown up into the air....
Answer the following questions for the given problem: A ball is thrown up into the air. The ball’s height , h (in feet), from the ground is modeled by h(t) = -16t2 + 64t +5, where t is measured in seconds. Before answering these questions, think about the practical meaning of the vertex, y intercept and x intercepts, and how they apply to this problem. 1. What is the height of the ball at its highest point? 2. How many...
A cannonball is shot into the air from the top of a tower. Its height above...
A cannonball is shot into the air from the top of a tower. Its height above the ground, in metres, at any time t, in seconds, is given by the function h(t)=-4.9t2+50t+30. Find the average velocity of the cannonball from t = 1 to t = 2 seconds Use limits to find the instantaneous velocity of the cannonball at t = 6 seconds
The Washington Monument is the world's tallest obelisk at 555 feet. Suppose a penny is dropped...
The Washington Monument is the world's tallest obelisk at 555 feet. Suppose a penny is dropped from the observation deck from a height of 500 feet. (Let t represent the number of seconds after the penny is dropped.) (a) If the acceleration due to gravity near the surface of the earth is −32 feet per second per second and the velocity of the penny is 0 when it is dropped, write the function for the model for the velocity, v,...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT