Suppose a ball is hit with a horizontal velocity of 80 ft/sec and an initial upward velocity of 90 ft/sec. The parametric equations (without regard for air resistance) for position (x,y) at time t seconds are: x(t)=80t y(t)=90t−16t^2 a. Find the position of the ball at time t=3 sec. b. When is the ball at a horizontal distance of x=200 ft.? How high is the ball at that time? c. At what two times is the ball 100 feet above the ground? Find x at the times. d. A 25-foot high fe
Suppose a ball is hit with a horizontal velocity of 80 ft/sec and an initial upward velocity of 90 ft/sec. The parametric equations (without regard for air resistance) for position (x,y) at time t seconds are:
x(t)=80t
y(t)=90t−16t^2
a. Find the position of the ball at time t=3 sec.
b. When is the ball at a horizontal distance of x=200 ft.? How high is the ball at that time?
c. At what two times is the ball 100 feet above the ground? Find x at the times.
d. A 25-foot high fence is at x=400 ft. According to this parametric function, will the ball go over the fence, hit the fence, or hit the ground before reaching the fence?
e. At what time does the ball reach its maximum height ? What is the horizontal distance at this time?
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