SOLUTION: You fire a rifle straight up. Your bullet leaves your fun at a velocity of 960 feet per second. Ignore air resistance. Consider the mussle of you gun to be at height zero. The bull

Question 17128: You fire a rifle straight up. Your bullet leaves your fun at a velocity of 960 feet per second. Ignore air resistance. Consider the mussle of you gun to be at height zero. The bullet will reach its maxium altitude of __ feet after __ seconds.
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
I believe the formula for this is
, where y is the number of feet above the ground t seconds after firing, assuming gravitational constant of -32 ft/sec^2.

Soooo,
Where, y=0 are the two points where the bullet is at ground level.

Factor the common factors of 16t, and while you are at it, why not take out a -16t. That's even better.

t= 0 and t=60 seconds.

The first value t=0 represents the time when the gun was fired, and the bullet left the gun. The second time t=60 seconds represents the time when the bullet came back down to ground level.

By symmetry, the bullet spends half the time going up, and half the time coming back down. So the bullet reaches its maximum altitude at t= 30 seconds.

Maximum height attained is
, where t= 30 seconds
feet

Check with a calculator:

(Notice that on the y axis of this graph, the ten thousands digit is not displayed. Sorry about that. Still a pretty nice graph if you will correct that minor error by algebra.com graphing.)

R^2 at SCC
RELATED QUESTIONS
You fire a rifle at an angle of 45 degrees. Thus the initial horizontal and vertical... (answered by nerdybill,jsmallt9)

Velocity of a bullet. A gun is fired straight upward. The bullet leaves the gun at 100... (answered by ankor@dixie-net.com)

An observer stands 46.0 m behind a marksmen practicing at a rifle range. The marksman... (answered by ankor@dixie-net.com)

You throw the rocket from problem #4 straight up in the air with an initial velocity of... (answered by Alan3354)

you throw the rocket straight up in the air with an initial velocity of 50 feet per... (answered by Alan3354)

Two seconds after firing a rifle at a target, the shooter hears the impact of the bullet. (answered by Theo)

a gun is fired straight upward. the bullet leaves the gun at 100 feet per second (time... (answered by stanbon)

I am having a problem trying to solve this linear equation word problem. Velocity of a (answered by scott8148)

You arrive at a model rocket competition only to discover that you left your small solid... (answered by Alan3354)