A bullet is fired horizontally into a wooden block that rests on a flat horizontal frictionless table. The bullet has a mass of 8.00 g and the block has a mass of 250 g. The bullet lodges in the block and causes it to slide horizontally off the table from a height of 1.00 m and lands 2.00 m away from the base of the table. Assume the acceleration due to gravity is 10.0m a. How long does it take the system of block and bullet to fall? Explain your conclusion. b. What is the velocity vector of the system of block and bullet at the following instants: i. at the instant the system leaves the surface of the table and ii. at the instant just before the system hits the ground. Explain your calculations. c. What is the velocity of the bullet just before it hits the wooden block? Explain your work. d. Make a reasonable estimate for the average force of impact of the bullet on the wooden block. Clearly state any assumptions you need to make and explain your work