Question

A particle moves in the xy plane and at time t is at the point $\left(t^2,t^3-2t\right)$. Then:

• A. At t = 2/3 s, direction of velocity and acceleration are perpendicular
• B. At t = 0, directions o velocity and acceleration are perpendicular
• C. At t = $\sqrt{\frac{2}{3}}$ s, particle is moving parallel to x-axis
• D. Accelerationof the particle when it is at point (4, 4) is $2\widehati +12\$

Answer 1

Answer: (B), (C), (D)

The correct options are
B At t = 0, directions o velocity and acceleration are perpendicular
C At t = $\sqrt{\frac{2}{3}}$ s, particle is moving parallel to x-axis
D Accelerationof the particle when it is at point (4, 4) is $2\widehati +12\$