Four students are determining how to calculate the acceleration of a ball rolling down a ramp in the main gym. They measured the distance the ball travelled on the ramp and the time it took for the ball to roll down the ramp. The ball was released from the top, with an initial velocity of Om/s.

Aparticle initially located at the origin has an acceleration of = 2.00ĵ m/s2 and an initial velocity of i = 8.00î m/s. find (a) the vector position of the particle at any time t (where t is measured in seconds), (b) the velocity of the particle at any time t, (c) the position of the particle at t = 7.00 s, and (d) the speed of the particle at t = 7.00