please help me answer all these questions on a piece of paper or ipad. also please ignore any work on the paper as it may be wrong thank you.

#1 A diver jumps off a cliff with a speed of 4.5 m/s at an angle of 41' to the horizontal. The cl above the water. a) what is the maximum height reached by the diver? b) how long is he in the air? c) What is his speed when he strikes the water? 2 d) How far from the bottom of the cliff does the diver land? 2 nas . # 2 2.0 x 1 1.5 x 10 m1 m, = unknown mz = 10 kg stronaut H, = 0.25 The system is at rest. For the system to remain at rest, what is the maximum mass of block 1? EF = 0 6. 25 ) m , ( 9.8 3 , ) = ( 10 leg ) ( 9.8 . My Fu = Fg un m. = 40 kg 4 # 3 My mglose Data: mashe m = 35 kg ( = 25' H =.32 V, = 5.0 m/s 8 25 This block has been given a push up the hill with the data shown above. Find out how far it will travel before coming to a stop. With, z AK : M Y - ki = 0 - m ( s, 0 ) 2 1 1 /20. \\/Gamma2 ) - 4375 T 2.0 x 1030 kg 1.5 x 10" m # 4 ronaut visits an unknown planet where the period of a 1.00 m long pendulum is 3.26 seconds. What is acceleration due to gravity on this planet? y = 4 2 1.05 m (3262 : 3.71 2 Based on the value for acceleration due to gravity, the astronaut determines that she is on Mars. She then stands on the edge of a cliff an unknown distance above the surface, throws a rock straight up with a speed 5.6 m/s. It strikes the ground 5.26 seconds later. b) How high was the cliff? c) What was the maximum height gained by the rock above the GROUND? (not above the cliff) Mars' radius is 3390 km. Using your value for acceleration due to gravity, d) find the mass of Mars Mars orbits with an average distance of 1.5 AU from the sun. e) Find the orbital speed (in m/s) of Mars