A nasty teenager is dropping tomatoes from a bridge onto cars onthe road show. The height of the bridge (the point from whichthe tomatoes are dropped) is 10 meters above the ground. Theteen first sees cars when they come around a corner which is 50meters away. All cars drive at exactly the speed limit of 40kilometers per hour.

a) How long after a car comes around the curve does sheneed to wait before dropping a tomato to hit the hood of the car ata height of 1.0 meters above the ground?

b) After some time, the teen gets bored with justdropping the tomatoes. As a challenge, she decides to throwthe tomatoes straight up with some initial velocity, V(nought),rather that just dropping them. Asssume she throws thetomatoes 1.5 seconds after she sees the cars. What value ofV(nought) is needed for the tomatoes to hit the cars at the sameheight above the road?

c) Eventually, the teen gets bored with this new game and shedecides to throw the tomatoes straight down at an initialvelocity of 15 m/s. Now, how long does she need to wait afterseeing the cars to hit them at the same height?