Problem 2: A 165 lb skydiver jumps off from a plane at a height 10,000 ft. In the first 30 seconds, the drag force due to air resistance is 2v. Use g= 32 ft/s'. (A) What is the differential equation (as an explicit derivative) that describes the motion of the skydiver? (B) what is the velocity of the skydiver after the first 10 seconds? (C) What is his altitude at that instant of time? After the first 30 seconds, the parachute is released to increase the drag force. If this time, the drag force is proportional to the square of the velocity, (D) find an expression for the velocity at any time t after the initial 30 seconds, assuming the same value of k. It's alright if your answer is in implicit form.

Problem 2: A 165 lb skydiver jumps off from a plane at a height 10,000 ft. In the first 30 seconds, the drag force due to air resistance is 2v. Use g= 32 ft/s'. (A) What is the differential equation (as an explicit derivative) that describes the motion of the skydiver? (B) what is the velocity of the skydiver after the first 10 seconds? (C) What is his altitude at that instant of time? After the first 30 seconds, the parachute is released to increase the drag force. If this time, the drag force is proportional to the square of the velocity, (D) find an expression for the velocity at any time t after the initial 30 seconds, assuming the same value of k. It's alright if your answer is in implicit form.