Homework Help: precalculus

Posted by Mary on Friday, November 21, 2008 at 5:25am.

Darius serves a volleyball with an initial velocity of 34 feet per second 4 feet above the ground at an angle of 35 degrees.
1). What is the maximum height, reached after about 0.61 seconds?
Answer: 9.94 feet

2)After how many seconds will the ball hit the ground if it landed 39 feet away and it is not to be returned.

Answer: 1.4 seconds

precalculus - drwls, Friday, November 21, 2008 at 7:22am
1. From the information about angle and initial velocity, the time 0.61 s could have been predicted. The additional upward distance it travels in that time equals the average upward velocity time 0.61 s. 4 m must be added to that for the height above ground.
Total height then is
(1/2)(34 ft/s)*sin 35*(0.61s) + 4m = 9.94 ft

2. Add the time to fall 9.94 ft,
sqrt[2*9.94ft/g], to 0.61 s. You do not need to use the fact that it travels 39 feet horizontally. That could have been predicted.

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