A cart 4.9 m in length moving with a velocity of 4.9 m/sec is approaching a platform which is 9.8 m above the plane of the cart's motion. The cart is moving along a line marked every 0.1 meters. You want to drop a particle onto the cart:
(a) if you want to hit the center of the cart, when should you drop the particle?
(b) how many meters before the front of the cart arrives?
(c) if you want to hit any place on the cart, during what time interval before the cart arrives must you drop the particle?