1) 2) 3) PHYS 101 Given the equation abc = Id + amen with the dimensions [a] = M , [b] = a) Determine the dimension of x. b) Find m and n. L E s 1 [c] =L. [d] =,..and [e] = all r- A position vector at any time is given by ?(t) = 2:\": + 3t} 612. a) Find velocity and acceleration vectors at any time t. 1)) Find a unit vector perpendicular to both velocity and acceleration vectors at t = 13. c) Find the angle between velocity and acceleration vectors at t = ls. A projectile is red from ground level and its position vector as a function of time is given by F0?) = Br? + (4: 58),? a) Find initial velocity, initial speed and initial projection angle of the projectile. b) Find the maximum height of the projectile. c) Find the range of the particle. (1) Find the velocity and speed of the projectile when it hits the ground