# algebra

an arrow is shot into the air with an initial velocity of 96 feet per second. the height in feet of the arrow t seconds after it was shot into the air is given by the function h(x)=-16t^2+96t. find the maximum height of the arrow. what is the answer

1. 👍 0
2. 👎 0
3. 👁 1,857
1. h(x) = -16t^2 + 96t.

The parabola opens downward. Therefore,
the max. point is the vertex.

t(V) = -b/2a = -96 / -32 = 3s = The value of t at the vertex.

h=-16*3^2 + 96*3 = -144 + 288 = 144Ft

;

1. 👍 2
2. 👎 0

## Similar Questions

1. ### science

an arrow is shot into air. its range is 200m and its time of flight is 5s . if g=10m/s2 ,then horizontl compoent of velocity and the mximum height will be

asked by shilpa on June 17, 2012
2. ### physics

It is possible to shoot an arrow at a speed as high as 100 m/s. (a) If friction is neglected, how high would an arrow launched at this speed rise if shot straight up? (b) How long would the arrow be in the air? Please help! I do

asked by sarah on June 7, 2010
3. ### physics

an arrow is shot at a 30 degree angle with the horizontal. it has a velocity of 49 m/s how high will the arrow go? what horizontal distance will the arrow travel? and how long will the arrow be in the air?

asked by Alexis on December 17, 2017
4. ### Physics

An arrow is shot from a height of 1.4 m toward a cliff of height H. It is shot with a velocity of 28 m/s at an angle of 60° above the horizontal. It lands on the top edge of the cliff 3.6 s later. a) What is the height of the

asked by A on September 23, 2016
1. ### physics

Two arrows are shot vertically upward. The second arrow is shot after the first one, but while the first is still on its way up. The initial speeds are such that both arrows reach their maximum heights at the same instant,

asked by Anonymous on August 26, 2012
2. ### Physics

An arrow is shot at an angle of above the horizontal. The arrow hits a tree at an angle 45 degrees horizontal distance D = 220 away, at the same height above the ground as it was shot. Use g = 9.8 for the magnitude of the

asked by Nami on September 28, 2012
3. ### Physics

An arrow is shot from a height of 1.5 m toward a cliff of height . It is shot with a velocity of 30 m/s at an angle of 60 deg above the horizontal. It lands on the top edge of the cliff 4.0 s later. (a) What is the height of the

asked by Jeff on January 31, 2016
4. ### Math : Statistics

The formula h=vt−16t^2 gives the height h, in feet, of an object projected into the air with an initial vertical velocity v, in feet per second, after t seconds. If an object is projected upward with an initial velocity of 112

asked by Keonn'a on November 2, 2018
1. ### Physics

An arrow is shot at a 30 degree angle with the horizontal. It has a velocity of 49m/s. The acceleration of gravity is 9.8 m/s2. How high will the arrow go?

asked by Dani on September 22, 2011
2. ### physics

using a powerful air gun, a steel ball is shot vertically upward with a velocity of 80 m/s, followed by another shot after 5 seconds. find the initial velocity of the second ball to meet the first ball 150 m from the ground.

asked by Astro on January 25, 2014
3. ### Calculus

An arrow is shot into the air and moves along the parabolic path y=x(50-x). The horizontal component of velocity is always 90 ft/s. What is the vertical component of velocity when... x=10 x=40

asked by Ashlyn on April 9, 2018
4. ### Physics

An arrow is shot at a 30 degree angle with the horizontal. It has a velocity of 49m/s. The acceleration of gravity is 9.8 m/s2. How high will the arrow go?

asked by Dani on September 22, 2011