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Q7. a. The displacement s meters of a body from a fixed point is given by the equation:

S = 2/3 t³-13/2 t² + 15t + 8 where t is the time in seconds

Determine EACH or the following for the body:

i. Its initial velocity; (3)

ii. The times when it is at rest; (4)

iii. The time when its acceleration is 3 ms^-2. (3)

b. Determine the first and second differential coefficients of the expression:

y = 6√x+3 ln⁡ x + 5 sin⁡x  (6)