A 50 kg person jumps off a 210m cliff attached to a 100m bungee cord with a spring constant of 20 N/m. During the first 100m, the person is in free fall. The bungee engages immediately after the 100m mark. a. If the person is 1.6m tall, will they hit the ground? If not, how high above the ground will he reverse direction?

b. If the known tensile strength of the bungee is 2,000 N, will that affect your answer to question 1? Explain.

c. How much was the bungee stretched at the equilibrium position?

Astone is dropped from the upper observation deck of a tower, 250 m above the ground. (assume g = 9.8 m/s2.) (a) find the distance (in meters) of the stone above ground level at time t. h(t) = (b) how long does it take the stone to reach the ground? (round your answer to two decimal places.) s (c) with what velocity does it strike the ground? (round your answer to one decimal place.) m/s (d) if the stone is thrown downward with a speed of 2 m/s, how long does it take to reach the ground? (round your answer to two decimal places.) s