Question

Solve the problem. An explosion causes debris to rise vertically with an initial velocity of 4 feet per second. The function $s(t) = -16t^2 + 64t$ describes the height of the debris above the ground, $s(t)$, in feet, $t$ seconds after the explosion. What is the instantaneous velocity of the debris 3.3 second(s) after the explosion? -41.6 feet per second 41.6 feet per second 105.6 feet per second -105.6 feet per second

          Solve the problem.
An explosion causes debris to rise vertically with an initial velocity of 4 feet per second. The
function $s(t) = -16t^2 + 64t$ describes the height of the debris above the ground, $s(t)$, in feet, $t$
seconds after the explosion. What is the instantaneous velocity of the debris 3.3 second(s)
after the explosion?
-41.6 feet per second
41.6 feet per second
105.6 feet per second
-105.6 feet per second

Solve the problem.
An explosion causes debris to rise vertically with an initial velocity of 4 feet per second. The
function s(t) = -16t^2 + 64t describes the height of the debris above the ground, s(t), in feet, t
seconds after the explosion. What is the instantaneous velocity of the debris 3.3 second(s)
after the explosion?
-41.6 feet per second
41.6 feet per second
105.6 feet per second
-105.6 feet per second

Added by William W.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Joy Squicciarini

06/18/2022

Step 1

Step 1: The instantaneous velocity of the debris is the derivative of the function s(t). Show more…

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Solve the problem. An explosion causes debris to rise vertically with an initial velocity of 4 feet per second. The function s(t) =-16t^2+64t describes the height of the debris above the ground, s(t), in feet, t seconds after the explosion. What is the instantaneous velocity of the debris 3.3 second(s) after the explosion? -41.6 feet per second 41.6 feet per second 105.6 feet per second -105.6 feet per second