Answer:
the trajectory for the missile
the downrange of the missile R = 39570.6973 ft
Explanation:
Suppose the initial velocity v(0) = <1000, 1400, 368 > ft/sec
The single force which is acting over the missle is the gravitational force.
a (t) = <0, 0, -32> ft/sec²
We are to determine the trajectory and the downrange for the missle
Consider the motion of a given object r(t) to be:
Thus, the trajectory for the missile
To determine the downrange of the missile,
where;
the horizontal vel. of the missle
= 1720.4651 ft/s
the vertical vel. of the missile is
The time required to reach the ground
t = 23 sec
Finally, the downrange of the missile
R = 1720.4651 × 23
R = 39570.6973 ft