A 180-lb person jumps out of an airplane with initial upward velocity of 5 ft/s at...

A 180-lb person jumps out of an airplane with initial upward velocity of 5 ft/s at a height of 3000 ft (assuming the air resistance is proportional to its falling speed). The air resists the body's motion with a force of 2 lb for each ft/s of speed. Assuming the constant gravity is 32 ft/s^2 (1) find its velocity v = v(t) (2) find its terminal velocity (3) find the distance of falling x = x(t) (4) find the duration in seconds until the body hits the ground

Expert Solution

Colby Messinger answered 2 years ago

A ball is thrown vertically upward from a height of 5 ft with an initial velocity...

A ball is thrown vertically upward from a height of 5 ft with an initial velocity of 40 feet per second. Note that the acceleration of the ball is given by a(t) = −32 m/s2. How high will the ball go? When does the ball hit the ground? What is the velocity of the ball when it hits the ground?

A person jumps upward off a diving board at 6.0 m/s and hits the water 2.0...

A person jumps upward off a diving board at 6.0 m/s and hits the water 2.0 seconds later (including the up and down time). About how fast will she be going just before she hits the water?

A ball is thrown upward with initial velocity v0 = 15.0 m/s at an angle of...

A ball is thrown upward with initial velocity v0 = 15.0 m/s at an angle of 30° with the horizontal. The thrower stands near the top of a Jong hill which slopes downward at an angle of 20°. Determine how far down the slope the ball strikes.

Ferdinand is going up sky diving. An airplane flies him up to 10 000 ft. He jumps out. He...

Ferdinand is going up sky diving. An airplane flies him up to 10 000 ft. He jumps out. He free falls and at 5000 feet opens his chute and eventually safely lands on the ground. a) What originally did work on Ferdinand? _____________ b) What originally was the work done against? _______________ c) At what moment did he have the maximum potential energy? ___________________ d)At what moment did he have maximum kinetic energy? ___________________ e) When he landed on the ground, he lost...

A ball is thrown upward with an initial velocity of 32 ft/sec from a tower 48 feet above ground

A ball is thrown upward with an initial velocity of 32 ft/sec from a tower 48 feet above ground. Assume that the only force affecting the ball during travel is from gravity, which produces downward acceleration of 32 ft/sec^2. Then The maximum height reached by the ball is: ____________________ The ball hits the ground at time t; _____________________

A stone is thrown vertically upward with an initial velocity of 20 m/s. Air resistance is...

A stone is thrown vertically upward with an initial velocity of 20 m/s. Air resistance is considered negligible. (1) At what time does it reach the peak? (2) What is the maximum height it reaches? (3) What is speed of the stone just before it hits the ground? The velocity of a 1-kg particle moving along the x axis changes from vi = -2m/s to vf = -5m/s in 3s. (1) What are the change in momentum and impulse for...

An object is thrown upward with an initial velocity of 32.1 m/s. When the object reaches...

An object is thrown upward with an initial velocity of 32.1 m/s. When the object reaches it maximum height, it is true of the acceleration, a, and the velocity, v, that: both its acceleration and velocity are zero both its acceleration and velocity change sign velocity is equal to zero, but acceleration is not acceleration is equal to zero, but velocity is not None of the above. Please help. Only one answer is true. Please give reason why.

A rocket is launched straight into the air with initial velocity 200 ft/s. Assume the launch...

A rocket is launched straight into the air with initial velocity 200 ft/s. Assume the launch is instantaneous. How high will it go, and how long will that take (use time increments of 0.01 seconds)? G= - 32.2 ft/s2 , H0=0 (the ground) V(t)=V0 + g t H(t)= H0 + V0 t + ½ g t2 The rocket deploys a parachute after 9 seconds and descends at a constant rate of 20 ft/sec. How long does it take to reach...

A 60.0 kg person running at an initial speed of 4.50 m/s jumps onto a 120...

A 60.0 kg person running at an initial speed of 4.50 m/s jumps onto a 120 kg cart that is initially at rest. The person slides on the cart's top surface and finally comes to rest relative to the cart. The coefficient of kinetic friction between the person and the cart is 0.320. Friction between the cart and the ground can be neglected. a.Find the final speed of the person and cart relative to the ground. b.For how long does...

An airplane weighing 5,000 lb is flying at standard sea level with a velocity of 550...

An airplane weighing 5,000 lb is flying at standard sea level with a velocity of 550 mi/h. At this velocity, the L/D ratio is a maximum. The wing area and aspect ratio are 200 ft2 and 8.5, respectively. The Oswald efficiency factor is 0.93. Calculate the total drag on the airplane. Assume ?? = 0.002377 slug/ft3. (Round the final answer to one decimal place.) The total drag on the airplane is _______lb.

Question