An object has a position given by r = [2.0 m + (3.0 m/s) t ] ^i + [3.0 m - (2.00 m/s^2) t^2 ] j ^ , where all quantities are in SI units. What is the magnitude of the acceleration of the object at time t = 2.00 s.
What is the maximum distance we can shoot a dart, from ground level, provided our toy dart gun gives a maximum initial velocity of 2.78 m/s and air resistance is negligible?