Question

Using calculus, it can be shown that if a ball is thrown upward with an initial velocity of 16 ft/s from the top of a building 510 ft high, then its height h above the ground t seconds later will be h = 510 + 16t - 16t^2. During what time interval will the ball be at least 30 ft above the ground?

Name: using calculus it can be shown that if a ball is thrown upward with an initial velocity of 16 fts from the top of a building 510 ft high then its height h above the ground t seconds later wi 70679
Uploaded: 2022-08-11T20:01:55-08:00
Duration: 1 min 39 s
Channel: Kyle Sower
Description: using calculus it can be shown that if a ball is thrown upward with an initial velocity of 16 fts from the top of a building 510 ft high then its height h above the ground t seconds later wi 70679

          Using calculus, it can be shown that if a ball is thrown upward with an initial velocity of 16 ft/s from the top of a building 510 ft high, then its height h above the ground t seconds later will be h = 510 + 16t - 16t^2. During what time interval will the ball be at least 30 ft above the ground?

Added by Milagros B.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Kyle Sower

08/11/2022

Step 1

Step 1:** Set the height function equal to 30 to find the time when the ball is at least 30 feet above the ground: \[510 + 16t - 16t^2 = 30\] ** Show more…

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Using calculus, it can be shown that if a ball is thrown upward with an initial velocity of 16 ft/s from the top of a building 510 ft high, then its height h above the ground t seconds later will be h = 510 + 16t - 16t^2. During what time interval will the ball be at least 30 ft above the ground?