If a ball is thrown directly upward with a velocity of 30 ft/s, its height (in f

Algebra
Tutor: None Selected Time limit: 1 Day

If a ball is thrown directly upward with a velocity of 30 ft/s, its height (in feet) after t seconds is given by y = 30t − 16t2. What is the maximum height attained by the ball? (Round your answer to the nearest whole number.)

 ft
Mar 10th, 2015

Answer:

the maximum height is attained at time t such that the speed is zero, namely:

0 = 30 - 32.2 *t, since gravity g = 32.2 feet/sec^2

so:

t = 30/32.2 = 0.93 seconds,

so y_max = 30 * 0.93- 16* 0.93^2 = 27.9 - 13.84 = 14.06 feet.

SO the maximum height is y_max = 14.06 feet

Mar 10th, 2015

Are you studying on the go? Check out our FREE app and post questions on the fly!
Download on the
App Store
...
Mar 10th, 2015
...
Mar 10th, 2015
Dec 8th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer