Question

1. The acceleration of a particle in rectilinear motion is defined by a = k square root of v , where a is in m/s^2 , v is is m/s and k is a constant. Given that at times t = 2 sec and t = 3 sec, the velocities are respectively 4 m/s and 9 m/s, and the displacement at t = 3 sec is 20 m. Determine the values of k and Vo or Vinitial. Write the equation of motion.

2. A car starts from rest at Point O. A car covers 100 m in 10 seconds (Point A to B), while accelerating uniformly at a rate of 1 m/s^2. Determine
a) Velocities of the car at Point A and Point B.
b) Distance traveled before coming to this point A assuming it started from rest
c) Its velocity after the next 10 seconds (Point C)