1.The acceleration of a particle along a straight line is defined by a=(2t-9)m/s^2, where t is in seconds. At t=0, s=1m, and v=10 m/s. When t=9s, determine the particles position, the total distance traveled, and the velocity.
2.A car starts from rest and moves along straight line with anacceleration of a = (3s-1/3)m/s2, where s is in meters. Determine the car'svelocity and position when t = 6s
3.A canal cut in rock (n= 0.030 is trapezoidal in section with the bottom width of 6.10m and side slopes of 1 on 1. The allowable average velocity is 0.76 m/s. What slope will produce 5.66 m^3/s