The position of a particular particle as a function of time is given by r⃗ = ( 9.60ti^ + 8.85j^ - 1.00t2k^)m, where t is in seconds.

Question

Part A

Determine the particle's velocity as a function of time. Express your answer in terms of the unit vectors i^, j^, and k^.

v⃗ = _________ m/s

Part B

Determine the particle's acceleration as a function of time. Express your answer in terms of the unit vectors i^, j^, and k^.

a⃗ = ________________ m/s²

Answer 1

Part A: v(with the arrow on top) = (9.60i^ - 2.00tk^)m/s

Part B: a(with the arrow on top) = (-2.00k^)m/s^2