# math

posted by .

recall that the acceleartion due to earth's gravity is 32 ft/sec^2. from ground level, a projectile is fired straight upward with velocity 90 feet per second.

a. what is its velocity after 3 seconds
b. when does it hit the ground
c. when it hits the ground, what's the net distance it has traveled.
d. when it hits the ground, what is the total distance it has traveled

• math -

a) use v = Vo - gt

b ) use equation in part a to find out when v = 0. At that point the thing is as high as it will go. It will spend the same time falling so double the time you found for ascent to find out when it hits the ground.

c) LOL it came right back to where it started if you shot straight up :)

d) we know how long it took to get to the top (half of the final answer in part b)
so how far up did it go?

Y = Yo + Vo t +(1/2) a t^2
Y = 0 + 90 t - 16 t^2 where t is half the total time aloft from part b
double that answer to include the distance it fell.

• math -

simplifing fractions

• math -

alyssa in general factor top and bottom and cancel like factors
for example 12 /16
= 2*2 *3
-----------
2*2 *2*2

so it is really 3/4

## Similar Questions

1. ### intermediate algebra

A projectile is launched directly upward from the top of a 112 - foot building with an initial velocity (speed) of 96 feet per second. This translates to the h(t) = -16t^2 + 96t + 112 where h(t) is the height of the projectile in feet …
2. ### math

A projectile is fired directly upward with a muzzle velocity of 860 feet per second from a height of 7 feet above the ground. a. Determine a function for the height of the projectile t seconds after itâ€™s released. b. How long does …
3. ### math

A stone is thrown straight up from the edge of a roof, 700 feet above the ground, at a speed of 10 feet per second. (A). Remembering that the acceleration due to gravity is -32 feet per second squared, how high is the stone 2 seconds …
4. ### Math

A projectile is fired straight up from a cliff which is 200 feet above ground with an initial velocity of 220 ft/sec. Assume that the only force affecting the projectile during flight is from gravity which produces a downward acceleration …
5. ### Physics

A projectile is fired straight up from a cliff which is 200 feet above ground with an initial velocity of 220 ft/sec. Assume that the only force affecting the projectile during flight is from gravity which produces a downward acceleration …
6. ### Intermediate Algebra

If a projectile is fired straight upward from the ground with an inital speed of 96 feet per second, then its height (h) in feet after t seconds is given by the equation h(t)=-16t^2+96t Find the maximum height of the projectile.
7. ### calculus

Can some explain how to do this problem? I tried using derivatives...but...I keep getting a different answer from what my teacher told me! A projectile is fired directly upward with an initial velocity of 144 ft/sec and its height
8. ### Aria

If a projectile is shot vertically upward from the ground with an initial velocity of 100 ft per sec, neglecting air resistance, its height s (in feet) above the ground t seconds after projection is given by s= -16t^2 + 100t a) After …
9. ### Calculus - Falling Body Problem

Near the surface of the earth, the acceleration of a falling body due to gravity is 32 feet per second per second, provided that air resistance is neglected. If an object is thrown upward from and initial height of 3000 feet with a …
10. ### pre calculus

A projectile is fired straight upward from ground level with an initial velocity of 320 feet per second. (Assume t = 0 seconds corresponds to the time the object is fired. Use 32 feet/second2 as acceleration due to gravity.) (a) At …

More Similar Questions