Question

NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function...

NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=−4.9t^2+277t+283
Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?


How high above sea-level does the rocket get at its peak?

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
The height of a projectile, h, in meters, compared to time, t, in seconds, from a...
The height of a projectile, h, in meters, compared to time, t, in seconds, from a launch is given by the equation h (t) = -4.9t^2 + 13t + 4.3 a) Calculate its average speed during the 2nd second b) Calculate its instantaneous speed exactly 2 seconds after launching (without derivatives)
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?
NASA launches a satellite into orbit at a height above the surface of the Earth equal...
NASA launches a satellite into orbit at a height above the surface of the Earth equal to the Earth's mean radius. The mass of the satellite is 830 kg. (Assume the Earth's mass is 5.97 1024 kg and its radius is 6.38 106 m.) (a) How long, in hours, does it take the satellite to go around the Earth once? h (b) What is the orbital speed, in m/s, of the satellite? m/s (c) How much gravitational force, in N,...
The height of a plane above the ground is h = 3t^3. height in meters, t...
The height of a plane above the ground is h = 3t^3. height in meters, t in seconds. at t = 2s, the plane releases a box. how long after it was released does the box reach the ground?
An arrow is propelled upward at 98 m/sec2 , (height in meters after t seconds is...
An arrow is propelled upward at 98 m/sec2 , (height in meters after t seconds is given by h = -4.9t2 + 98)t: a. Graph the equation on the given coordinate system. b. Use the leading coefficient to describe the end behavior. c. State the domain and range of the function. d. What is the vertex? What does this signify? e. Set up and solve the inequality for the interval of time the arrow will be higher than 445.9m.
Problem 1. The function h = f(t) = 90 − 5(t − 2)2 , 0 ≤...
Problem 1. The function h = f(t) = 90 − 5(t − 2)2 , 0 ≤ t ≤ 6, gives the height of a rock (in meters) at time t seconds after being launched straight up from the edge of a cliff. (a) Sketch an accurate graph of the function h = f(t). Label the axes with the appropriate variable names and units. Label the curve with its equation. (b) Find a function g that expresses the time t when...
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...
Please circle answers 1. A company that produces cell phones has a cost function of C(x)=3x^2−1500x+39900...
Please circle answers 1. A company that produces cell phones has a cost function of C(x)=3x^2−1500x+39900 where C is cost in dollars and x is number of cell phones produced (in thousands). How many units of cell phones minimizes this cost function? 2. A ball is thrown into the air and its position is given by h(t)=−4.9t^2+70t+5 where tt is measured in seconds and h(t) is measured in meters above the ground. Find the height at which the ball stops...
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
A weight is attached to a spring suspended from a beam. At time t = 0,...
A weight is attached to a spring suspended from a beam. At time t = 0, it is pulled down to a point 11 cm above the ground and released. After that, it bounces up and down between its minimum height of 11 cm and a maximum height of 27 cm, and its height h(t) is a sinusoidal function of time t. It first reaches a maximum height 0.8 seconds after starting. What are the mean, amplitude, phase shift and...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT