Problem 6: A rocket accelerates upward from rest, due to the first stage, with a constant acceleration of a1 = 52 m/s for 1 = 39 s. The first stage then detaches and the second stage fires, providing a constant acceleration of a2 = 43 m/s for the time acceleration two interval to = 77 s. acceleration one a1 Otheexpertta.com Part (a) Enter an expression for the rocket's speed, v1, at time , in terms of the variables provided. Expression tps://usb06ca.theexpertta.com/Common/ViewAssignmentDetails.aspx Pag e Expert TA | Human-like Grading, Automated! 8/30/22, V1= Select from the variables below to write your expression. Note that all variables may not be required. B, , 0, a1, a2, d, g, h, j, k, m, n, P, t1, t2 Part (b) Enter an expression for the rocket's speed, v2, at the end of the second period of acceleration, in terms of the variables provided in the problem statement. Expression : V2= Select from the variables below to write your expression. Note that all variables may not be required. B, Y, 0, a1, a2, d, g, h, j, k, m, n, P, t1, t2 Part (c) Using your expressions for speeds v, and v2, calculate the total distance traveled, in meters, by the rocket from launch until the end of the second period of acceleration. Numeric : A numeric value is expected and not an expression. dt =