Required information A cyclist is riding with a speed v= 20 mph over an inclined road with 0= 15°. Neglect aerodynamic drag. 10

An airplane taking off has an acceleration of a = a, – kv², where a, = 2 m/s² and k = 4 x 10° m²'. If the velocity needed for takeoff is 250 km/hr, what is the runway length needed? Recalculate your answer if the drag term (k²) is neglected and a is a constant a = a,=2 m/s².

A helicopter with a mass of 10,000 kg takes off straight up at t=0. The thrust of the engine is defined given as a function of time: FT= 95 0.18t- (kN). Where t is in units of seconds. How fast is it rising and what is its elevation at t=4s?

What will be the speed with which a woman hits the ground if she parachutes down? The girl's mass is given by me. It is considered that the air resistance is given by the equation Fd = kv2

What is the safe maximum speed without tipping or skidding for a 13,200 N automobile running around a flat curve of 80 m radius? Its center of gravity is 0.60 m above the road surface and the wheel tread is 1.5 m, and f = 0.50.

On a runway of a decommissioned airport, a 2000 kg car travels at a constant speed of 100 km/h. At 100 km/h the air drag on the car is 1400 N. Assume that rolling friction is neglie (a) What is the force of static friction exerted on the car by the runway surface, and what is the minimum coefficient of static friction necessary for the car to sustain this spe As, min (b) The car continues to travel at 100 km/h, but now along a path with radius of curvature r. For what value of r will the angle between the static friction force vector and th velocity vector equal 45.00? r = For what value of r will it equal 75.1°? r = What is the minimum coefficient of static friction necessary for the car to hold this last radius of curvature without skidding? As, min = eBook

A plane is heading due south with an airspeed of 232 mph. A wind from a direction of 54.0° is blowing at 16.0 mph. Find the bearing of the plane.

If the rope on the wall suddenly snaps, what will be the acceleration vector and velocity vectors of these masses at 1=1s after the break? N.B.: the strings are assumed to be massless, flexible and inelastic.

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