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From street level, superman spots Lois Lane in trouble as the evil villain, Lex Luthor, drops her from near the top of the Empire State Building. At that very instant, the man of steel starts upward at a constant acceleration to attempt a midair rescue of Lois. Assuming she was dropped from a height of 300m and that Superman can accelerate straight upward at 15m/s^2, Determine

a) how far Lois falls before he catches her

b) how long Superman takes to reach her

c) their speeds at the Instant he reaches her. compare on whether these speeds might be a danger to Lois, who being a mere mortal, might get hurt running into impervious Man of Steel if the speeds are too great.

An automobile is traveling on long straight highway at a steady speed of 75.0mi/h when the driver sees a wreck 150m ahead. At that Instant, she applies the brakes(ignore reaction time). Between her and the wreck are 2 different surface. First there is 100 m of ice(this is midwest), where her deceleration is 1.00m/s^2. From then on she is on dry concrete where her deceleration is a more normal 7.00m/s^2.

A) what was her speed just after leaving the icy portion of the road?

B) How much total distance does it take to her to stop?

C) What is the total time it took her to stop?

A paramedic drives an amublance at a constant speed of 75 km/hr on a straight street for ten city blocks. Because of heavy traffic, the driver slows to 30 km/hr in 6.0 s and travels two more blocks. What was the average acceleration of the vehicle?