If the displacement of an object is given in SI units by $\Delta$ x = -5t + t², at t = 2 s its velocity and acceleration are, respectively: (Hint: Use dimensional analysis along with the equations for motion with constant acceleration.) A) positive, positive. B) positive, negative. C) negative, negative. D) negative, positive.

Question

Quizplus · Accepted Answer

The velocity is the first derivative of displacement with respect to time, and the acceleration is the second derivative. At t = 2 s, the velocity is negative, and the acceleration is positive.

If the Displacement of an Object Is Given in SI Δ\DeltaΔ

If the Displacement of an Object Is Given in SI $\Delta$