5. A rocket lifts off the surface of Earth with a constant acceleration of 40 m/sec2. How fast will the rocket be going 3.5 sec later? (Round to the nearest hundredth.) (Practice Labeling your equations correctly!) 6. Given the acceleration, initial velocity, and initial position of a body moving along a coordinate line at time "t", find the body's position at time "t." a = 20, v(0) = -7, s(0) = 2 7. Find the average value of the function over the given interval. (Give the answer as exact values.) a. y = 5 - x2 ; [-1,1] b. f (t) = (t - 7)3 ; [0,12] 8. Find the derivatives. d -3 d sint 1 a. sin t dt b. d x6 dx Jo at Jo du 4-212 C. dx Jo cos vt dt5. 140 m/sec 6. s(t) = 10t2 - 7t + 2 7. (a) 14/3 , (b) -37 8. (a) 3x2 sin(x3) , (b) cost 4-sin2 t , (c) 6x5 cos(x3)