y A 30+ 20+ 10+ 45 10 20 30 40 50
Projectile motion A projectile is launched from the origin, which is a point 50 ft from a 30-ft vertical cliff (see figure). It is launched at a speed of 50√2 ft/s at an angle of 45° to the horizontal. Assume the ground is horizontal on top of the cliff and that only the gravitational force affects the motion of the object.
a. Give the coordinates of the landing spot of the projectile on the top of the cliff.
b. What is the maximum height reached by the projectile?
c. What is the time of flight?
d. Write the integral that gives the length of the trajectory.
e. Approximate the length of the trajectory.
f. What is the range of launch angles needed to clear the edge of the cliff?
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