7. A particle is moving along a straight line. Its position from its origin [in meters) at time t seconds is given by aft) = sin2 t. Find its velocity and acceleration at time t = 2 seconds. At what times is the particle at rest? (Hint: The identity sin 2x = 2 sin a: ccsa: may be useful.) 5 8. (a) Find the linear approximation to the curve Mm) = secs at m = F' (b) Use your answer above to estimate sec 1112". The derivatives we found above are important. While all trig functions have mutiple forms (e.g. we write secntr) instead of m), these derivatives have stande forms. For future reference, write these below: d - _ i _ ESJHE dmoosx $0593: $5603: Etanm: Boots