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(Solved): [6] 3. Let r(t) be the position of a projectile which is launched from the point (0,0,2) meters at t ...



[6] 3. Let

r(t)

be the position of a projectile which is launched from the point

(0,0,2)

meters at

t=0

sec with initial velocity

(:50,60,80:)(m)/(sec)

. Assuming the projectile is influenced only by gravity, and that the acceleration due to gravity is

9.8(m)/(sec^(2))

, we have

r^('')(t)=(:0,0,-9.8:)(m)/(sec^(2))

. Find the position function

r(t)

, and the time at which the projectile will hit the

xy

plane (i.e. the ground), to the nearest 0.01 second.

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