# algebra

posted by .

the path of a rocket fired during a fireworks display is given by the equation s(t)=64t-16t^2 (t to the second power) where t is the time, in seconds, and s is the height, in feet. what is the maximum height, in feet, the rocket will reach? In how many seconds will the rocket hit the ground?

• algebra -

This is a parabola. Zeroes (that is s(t) is zero ) when t=0, and t=4.

So the max height due to symettry of the parabola occurs at t=2.

## Similar Questions

1. ### Algebra

The height of a rocket fired vertically into the air from the ground is given by the formula h(t) = -16t (2nd power) + 384t + 4, where t is measured in seconds. How long will it take to reach its maximum height and what is the maximum …
2. ### Math B

The path of a rocket fired during a fireworks display is given by the equation s(t)=64t2,( t do the 2nd power) where t is the time in seconds and s in the height in feet. What is the maximum height in feet the rocket will reach?

A model rocket is launched with an initial velocity of 128 ft/s from a height of 70 ft. The height of the rocket, in feet, t seconds after it has been launched is given by the function s(t)=−16t^2+128t+70. Determine the time …
4. ### Math

Two kids are building a rocket for science class. once the rocket is launched its height in feet, h(t) can be found using the function h(t)=-16t^2+128t where t represents time in seconds. They record the time from the moment the rocket …
5. ### Pre-Calculus

1. A projectile is fired straight up from a height of 6 feet. Its height (h) in feet after t seconds is given by h = 6 + 192t -16t^2. Answer: h = -16t^2 + 192t + 6 h = -16( t^2 -12t +36) + 6 +576 h = -16 (t-6)^2 +582 The maximum height …

if a rocket is launched straight up into the air with an initial velocity of 112 feet per second, it's height after t seconds is given by the formula h = 112t - 16t, where x represents the height of the rocket in feet: A. When will …

.A toy rocket is shot vertically into the air from a launching pad 5 feel above the ground with an initial velocity of 72 feet per second. The height h, in feet, of the rocket above the ground as t seconds after launch is given by …
8. ### Algebra

A bottle rocket launches into the air. The equation h=-16t^2+64t+9 gives the height of the ball, h in feet, as a function of t, number of seconds after launch. What is the maximum height the ball reaches?
9. ### Algebra

A model rocket is launched straight upward from the side of a 256-ft cliff. The initial velocity is 96 ft/sec. The height of the rocket h(t) is given by: h(t) =-16t^2+96t+256 where h(t) is measured in feet and t is the time in seconds. …
10. ### college algebra

A rocket is fired upward from some initial distance above the ground. Its height in​ feet, h,above the​ ground, t seconds after it is​ fired, is given by h=−16t^2+64t-3072

More Similar Questions

Post a New Question