A plane has a mass of M = 201 tons takes-off at a speed of Vf = 243 km/hr. If it starts form rest, what should be the minimum acceleration to take off if the length of the runway is L = 1.7 km

A small boat is being pushed up a ramp into the back of a flatbed truck. The boat is sitting at the top of the ramp, which is located 1.4 m above the ground. The boaters think the boat is safe there, and begin to walkaway. However, they have neglected the thin layer of ice that has formed on the ramp, which is angled at 30◦ up from the ground. Neglecting the friction between the boat and the ramp, how long do the boaters havebefore the boat reaches the bottom of the ramp?

A force parallel to the x-axis acts on a particle moving along the x-axis. This force produces a potential energy U(x) given by U(x) = ax where a = 1.39 J/m².

Problem 4: A sled starts from rest at the top of a snow-covered incline that makes an angle of p = 19.3 degrees with horizontal. After sliding a distance d= 68 m down the slope, the speed of the sled is s = 14.1 m/s.

The speed skier has a frontal surface area of 0.75 m^2 and a Cd of 0.54 (assume that p=0.95 kg/m^3) If the slope is 58 degrees and the skier's weight (including the equipment) is 92 kg, what the maximum velocity the skier can attain?

A ball with mass 0.3 kg is thrown upward with initial velocity 10 m/s from the roof of a building 50 m high. Assume there is a force due to directed opposite to the velocity, air resistance of magnitude 1325 where the velocity v is measured in m/s. NOTE: Use g-9.8 m/s as the acceleration due to gravity. Round your answers to 2 decimal places. a) Find the maximum height above the ground that the ball reaches. Height: m b) Find the time that the ball hits the ground. Time: seconds c) Use a graphing utility to plot the graphs of velocity and position versus time.

A skier leaves a ski jump at 14.4 m/s at some angle . At what speed is he travelling at his maximum height of 4.40 m above the level of the end of the ski jump? neglect air friction I need to find speed m/s?

A parachutist whose mass is 75 kg drops from a helicopter hovering 2500 m above the ground and falls toward the ground under the influence of gravity. Assume that the force due to air resistance is proportional to the velocity of the parachutist, with the proportionality constant b₁ = 20 N-sec/m when the chute is closed and b₂ = 100 N-sec/m when the chute is open. If the chute does not open until the velocity of the parachutist reaches 30 m/sec, after how many seconds will the parachutist reach the ground? Assume that the acceleration due to gravity is 9.81 m/sec². The parachutist will reach the ground after (Round to two decimal places as needed.) seconds.