Problem: Consider a particle (shown in blue) traveling along ramp AB. The particle starts with initial...
Problem 3: Consider a particle (shown in blue) traveling along a ramp. The particle starts with an initial at the start of time 1 - seconds, at position 1. The length of the ramp is 5 meters, from position / to position 2. The particle is said to have a constant acceleration a -0.86g, where g-10 m/s. velocity 16 m's, a. Determine the velocity of the particle, as it passes position 2 b. Determine the time taken for the particle...
Additional problem(s); • The acceleration of a particle traveling along a straight path is shown in the graph below. The particle starts from rest. Sketch the velocity versus time and position versus time graphs. How far will the particle move during the 60-second time period shown? 6 5 4 3 2 1 a, m/s^2 0 -1 10 20 30 40 50 60 Time, s -2 -3 -4 -5
Problem 4: A projectile is fired with an initial velocity of 54.1 m/s, at an initial inclination of 33.7 degrees with the horizontal r-axis. All initial variables (displacement and time) start at 0. You are asked to consider two cases of motion for the projectile, one without drag, and one with drag, with both the cases including effects of gravity. a) For motion with no drag, acceleration vector is given as а -g, where g 9.8 m/s. b) For motion...
3. A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t=0 s and moves to the right. The amplitude of its motion is 2.00 cm, and the frequency is 1.50 Hz. (a) Determine the position, velocity, and acceleration equations for this particle. (b) Determine the maximum speed of this particle and the first time it reaches this speed after t=0 s.
The velocity of a particle traveling along a straight path is shown in the graph below. Sketch the acceleration versus time and position versus time graphs. How far will the particle move during the 60-s time period shown? 1. 45 40 35 30 25 20 15 10 占. 0 0 10 20 30 60 70 Time,s 40 50
Problem 1,2,3. MEEN 2302 Sum 2019 HW1 Name Problem 1 12-4. Traveling with an initial speed of 70 km/h, a car accelerates at 6000 km/h2 along a straight road. How long will it take to reach a speed of 120 km/h? Also, through what distance does the car travel during this time? Problem 2 An object freely falling through the atmosphere has an acceleration a -32.2 [1- (v'/160,000)] ft/sec', empirically determined. This equation accounts for drag from earth's atmosphere. If...
Problem 2: A particle is traveling with uniform (constant) speed, v. Answer the following questions carefully a. If the particle is traveling along a straight line path, with this constant speed, what is the magnitude of its acceleration vector? What is the direction of the acceleration vector? b. If the particle is traveling along a circular path of radius of curvature, p. what is the magnitude of the acceleration vector? What is the direction of the acceleration vector? Why is...
The given function represents the position of a particle traveling along a horizontal line. s(t) = 2t3 - 3t2 - 36 + 7 fort 20 (a) Find the velocity and acceleration functions. v(t) = a(t) = (b) Determine the time intervals when the object is slowing down or speeding up. (Enter your answers using interval notation.) slowing down speeding up
3. The velocity of a particle traveling along a straight line is (21+ seconds, when 1-0, s 5 m, please determine the position s and acceleration a when t = 3s. 5t2) m/s, where t is in
A particle moves in a straight line with the acceleration shown. The particle starts from the origin with V.=-2 m/s. Construct a) Velocity versus time and Position versus time curves for 0 <t< 18 seconds b) Determine the position and the velocity of the particle when t=18 seconds c) Determine the total distance traveled. ooo a( )