Question

Calculate the instantaneous velocity for the indicated value of the time (in s) of an object for which the displacement (in ft) is given by the indicated function. Use the method of Example 3 and calculate values of the average velocity for the given values of $t$ and note the apparent limit as the time interval approaches zero. $$s=120 t-16 t^{2} ; t=0.5$$

          Calculate the instantaneous velocity for the indicated value of the time (in s) of an object for which the displacement (in ft) is given by the indicated function. Use the method of Example 3 and calculate values of the average velocity for the given values of $t$ and note the apparent limit as the time interval approaches zero.
$$s=120 t-16 t^{2} ; t=0.5$$

Added by Scott L.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Vincenzo Zaccaro

08/19/2022

Step 1

Step 1:** Calculate the instantaneous velocity by finding the derivative of the displacement function: \[s(t) = 120t - 16t^2\] \[s'(t) = 120 - 32t\] ** Show more…

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Calculate the instantaneous velocity for the indicated value of the time (in s) of an object for which the displacement (in ft) is given by the indicated function. Use the method of Example 3 and calculate values of the average velocity for the given values of $t$ and note the apparent limit as the time interval approaches zero. $$s=120 t-16 t^{2} ; t=0.5$$