consider-the-position-function-st12t260tst-12t2-60t-approximate-the-instantaneou

Question

Consider the position function $s(t) = -12t^2 + 60t$ . Approximate the instantaneous velocity at $t=1$ by completing the given table with the average velocities.

Graph illustrating average and instantaneous velocities for the position function s(t) in calculus.

Accepted Answer

Average velocity: 24, 30, 34.8, 35.88, 35.988; Instantaneous velocity: 36

Answer

Average velocity: 24, 30, 47.8, 47.88, 47.988; Instantaneous velocity: 48

Answer

Average velocity: 24, 30, 71.8, 71.88, 71.988; Instantaneous velocity: 72

Answer

Average velocity: 24, 30, 34.8, 35.88, 35.988; Instantaneous velocity: 24

Consider the position function s(t)=−12t2+60ts(t) = -12t^2 + 60ts(t)=−12t2+60t. Approximate the instantaneous velocity at t=1t=1t=1 by completing the given table with the average velocities.

Consider the position function $s(t) = -12t^2 + 60t$ . Approximate the instantaneous velocity at $t=1$ by completing the given table with the average velocities.