A particle of mass, m, is projected from an initial height of x。 in a vertical direction with initial velocity vo.It is subject to a downwards gravitational force of magnitude mg and a force proportional to its speed,mkv (k > 0), resisting its motion.a) Write equation of motion of the particle for its upwards and downwards motion.b) What is the value of V₁, the terminal velocity, of the particle?c) Find the position as a function of time in terms of V₁.

Answered: Image /qna-images/answer/2cd047e6-fec1-4bf9-a4d2-02d1a97d0a27.jpg

Answered: A particle of mass, m, is projected…

Similar questions

A home run is hit in such a way that the baseball just clears a wall 16.0 m high, located 126 m from home plate. The hall is hit at an angle of 33.0 degrees to the horizontal and air resistance is negligible. Assume that the ball is hit at a height of 1.0 m above the ground.a) find the initial speed of the ball b) find the time it takes the ball to reach the wall c) find the vol city of the 1. X component and be 2. Y component Find the speed of the ball when it reaches the wall
A student fires a cannonball diagonally upwards with an initial speed v at an angle 0 as shown. Determine all unknowns and answer the following questions. Neglect drag and the initial height of the cannonball. Calculate the total flight time (t) and range (r) in each of the following cases. v [m/s] e [º] t [s] r [m] 30.0 40.0 50.0 60.0 60.0 55.0 55.0 55.0 55.0 75.0 00000 0
A student fires a cannonball vertically upwards with a speed of 39.0m/s. Determine all unknowns and answer the following questions. Neglect drag and the initial height and horizontal motion of the cannonball. What was the cannonball's maximum height? unit How long did the cannonball rise? unit What was the cannonball's total flight time? unit check answers cannot be de Unit 12: forces and motion review, one-dimensional motion problems Desmos Scientific Online Calculator
A 1.80x10^4 kg semi-trailer truck drives up a 200 m hill [θ = 30 degrees above horizontal], at a constant speed of 25.0 m/s. The force of friction is 6.00x10^2 N. Write an equation to isolate and solve for P.
>V=0 d (m A block of mass m is on an inclined ramp. The ramp makes an angle with respect to the horizontal, as shown. The ramp has friction, with coefficient of kinetic friction and static friction μs. This experiment takes place on earth. The block has an initial speed of v up the ramp. It travels a distance d along the ramp before it stops. There are no numbers in this problem! Answer all questions in terms of the given variables (g, m, µk, µs, 8, v, d) only. Do not use any other variables. a) Draw a free body diagram clearly showing all the forces acting on the block while it is moving up the ramp. b) Calculate the work done by the Normal force as the block travels the distance d. Is it positive, negative, or zero? c) Calculate the work done by the Weight force as the block travels the distance d. Is it positive, negative, or zero? d) Calculate the work done by the Friction force as the block travels the distance d. Is it positive, negative, or zero? e) If the block comes to rest,…
Problem 4 An object is launched at a velocity of 25 m/s in a direction making an angle of 20° upward with the horizontal. What is the maximum height reached by the object?
An object slides along the inside of a vertical circular track and never loses contact with the track. As it slides upward it slows down, and as it slides downward it speeds up. It's not known whether it's moving clockwise or counterclockwise in the view shown. Match points A, B, C, and D with possible acceleration vectors at those points. Only one of the acceleration vectors shown is possible at each point. A с a B
Needs Complete typed solution with 100 % accuracy.
A ball is tied to a string and swung so that the ball follows a circular path that lies in a horizontal plane. Which of the following statements is true in an inertial reference frame, i.e. a reference frame that is at rest with respect to the Earth? O The ball has changing velocity and constant acceleration. O The ball has constant velocity and changing acceleration. O None of these. O The ball has changing velocity and changing acceleration. O The ball has constant velocity and constant acceleration. 000000000000
Calculus
How would I begin to solve this problem? In Example 2.6, we considered a simple model for a rocket launched from the surface of the Earth. A better expression for a rocket's position measured from the center of the Earth is given by y(t) = (RE3/2 + 3*(g/2)1/2 REt)2/3 where RE is the radius of the Earth (6.38 ✕ 106 m) and g is the constant acceleration of an object in free fall near the Earth's surface (9.81 m/s2). (a) Derive expressions for vy(t) and ay(t). (Use the following as necessary: g, RE, and t. Do not substitute numerical values; use variables only.)
You have put a sonar device at the top of a frictionless inclined plane, as shown in the diagram below. That device allows you to measure the distance an object is from the device, as well as the speed and the acceleration of that object. If we decide that the origin (h = 0) is at the sonar device, we want to know what the height change is as we slide down the incline. 0 For an angle below the horizontal of 6.46, we see that our object has slid a distance 1.13 m, as measured along the incline itself. Calculate the height change in meters - and report your answer as a negative number. (This value would be useful for calculating the change in gravitational potential energy, as we will do in the lab.) h=o 10% O i 26 QUATU 99+ hp X 55 83°F 3:11 PM 10/16/2022 Ctrl 0

SEE MORE QUESTIONS