A particle has velocity v=(t-2)3+1 m,s-1 for 0

Question

A particle has velocity v=(t-2)3+1 m,s-1 for 0 <= t 4 seconds. A student says its speed changes from increasing to decreasing at t=2 because its acceleration is zero there. Determine the speed intervals and assess the claim.

Accepted Answer

Speed decreases on $(0,1)$ and increases on $(1,4)$, although its instantaneous rate of change is zero at $2$ s. The claim is false; acceleration has no sign change at $2$ s.

Zero acceleration without a speed trend change

Zero acceleration without a speed trend change

Solution:

Solution locked