A parachutist (mass, m = 85 kg including parachute) has an initial velocity, v0 = 52.8 ms-1, immediately after the parachute opens. The drag force provided the parachute varies as a function of velocity, such that Fd = kv2 where k = 13.7 kg/m. Calculate the time it takes in seconds for the velocity to reach half the initial velocity. What is the maximum speed (terminal velocity) in km/h of the parachutist when the parachute is open?

lo, a satellite of Jupiter, is the most volcanically active moon or planet in the solar system. It has volcanoes that send plumes of matter over 500 km high. Due to the satellite's small mass, the acceleration due to gravity on lo is only 1.81 m/s², and lo has no appreciable atmosphere. Assume that there is no variation in gravity over the distance traveled ▼ What must be the speed of material just as it leaves the volcano altitude of 310 km? Express your answer in meters per second. V = Submit Part B 1ΫΠ| ΑΣΦ U = Request Answer [5] ΑΣΦ Submit ? If the gravitational potential energy is zero at the surface, what is the potential energy for a 35 kg fragment at its maximum height (500 km) on lo? Express your answer in joules. Request Answer m/s ? Constant J reach an

The gravitational force exerted on a baseball is 2.24 N down. A pitcher throws the ball horizontally with velocity 17.0 m/s by uniformly accelerating it along a straight horizontal line for a time interval of 182 ms. The ball starts from rest. (a) Through what distance does it move before its release? 1.59 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m (b) What are the magnitude and direction of the force the pitcher exerts on the ball? (Enter your magnitude to at least one decimal place.) 46.637 Your response differs from the correct answer by more than 100%. N magnitude 6.141 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error.°…

Q9. During the U.S. trials for the 2004 Summer Olympics, Michael Phelps broke his own world record in the 400 meter individual medley when he was clocked at 4 minutes and 08.41 seconds. What was his average velocity and his average speed? Give your answer in SI units.