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Q1. The position of a particle moving along an x axis is given by x = 12t2 - 2t3, where x is in meters and t is in seconds. Find out (a) position, (b) velocity, and (c) the acceleration of the particle at t = 3.0s. (d) What is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (f) What is the maximum positive velocity reached by the particle and (g) at what time is it reached? (h) What is the acceleration of the particle at the instant the particle is not moving (other than at t = 0)? (i) Find out the average velocity of the particle between t = 0 and t = 3s.

Q2. A plane flies from base camp to Lake A, 300 km away in the direction 36.9° south of east. After dropping off supplies it flies to Lake B, which is 260km at 30.0° west of north from Lake A. find out the distance and direction from Lake B to the base camp. (Make a graph)

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