Exercise III-
Given the point M moving such that its coordinates at any instant t are:
x = 2t; y = 5t² +4t where t is in second and x and y are in meters.
1-Find the equation of the trajectory of the point M. What is the nature of this motion?
2- Find the position vector of point M at time t.
3- Find the position of point M at t = 3 s.
4- Determine the velocity vector of point M at any time t. Verify that the magnitude of|||= 2√√25t+20t+5.
5- Find the acceleration vector a and deduce that its magnitude=10m/s².