2. a. A particle moves in a straight line along with the ? − ???? its...

2. a. A particle moves in a straight line along with the ? − ???? its displacement is given by the equation ?(?) = 5? 3 − 8? 2 + 12? + 6,? ≥ 0, where ? is measured in seconds and s is measured in meters. Find: i. The velocity function of the particle at time ? (2marks) ii. The acceleration function of the particle at time t. (2marks) iii. The acceleration after 5 seconds (1marks) b. Find the derivative of ? = 5???3(?) sin(3−2?) + ???2 (3? 2 − 4?) − csc(√2? − 1 )and express your answer in terms of sin and cos only (15marks)

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milcah answered 1 year ago

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