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March 31, 2015

March 31, 2015

Posted by **jessica** on Saturday, August 13, 2011 at 7:13pm.

a)When does the bullet hit the ground?

b)Write a parametric equation that models the path of the bullet.

c)What is the range of the gun?

d) find the equation for the bullet based on rectangular coordinates. What type of curve is this?

- calculus -
**Damon**, Saturday, August 13, 2011 at 7:42pmx = u t

y = yi + vi t - 16 t^2

----------------------------

u = 1600 cos 60 = 800 ft/sec the whole time

so

x = u t

vi = 1600 sin 60 = 1386 ft/s

so

y = 96 + 1386 t -16 t^2

so

when is y = 0 ?

0 = 96 + 1386 t - 16 t^2

16 t^2 - 1386 t - 96 = 0

so

t = 86.7 or -.07 (forget negative root)

so hits ground in 86.7 seconds

do u t for range

for part d use t = x/u, u is constant

y = yi + vi (x/u) - 16 x^2/u^2

or

y = c + b x + a x^2 a parabola

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