Determine the velocity of the particle when s = 10 m if v = 5 m/s at s = 0
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A particle travels along a straight line with an acceleration of a = (13 - .2s) m/s2
, where s is in
meters. Determine the velocity of the particle when s = 10 m if v = 5 m/s at s = 0.
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- If the velocity v of a particle moving along a straight line decreases linearly with its displacement s from 20 m/s to a value approaching zero at s = 20 m, determine the acceleration a of the particle when s = 13 m and show that the particle never reaches the 20-m displacement.The acceleration of a particle along a straight line is defined by a = (2t - 9) m/s2, where t is in seconds. At t = 0, s = 1 m and v = 10 m/s. When t = 9s, determine (a) the particle’s position, (b) the total distance traveled, and (c) the velocityStarting from rest, a particle moving in a straight line has an acceleration of a = (2t — 6) m/s2 where t is in seconds. What is the particle's position when t = 11 s?
- In the figure below, if the motor turns gear A with an angular velocity of 43 rad/s. The angular velocity of gear D isThe 5-kg ball A revolves at a constant speed ? in a horizontal circle as shown in Figure Q2. If ? = 50° and ? = 7.9m. Explain how r and the mass of the ball should be adjusted if the speed of the ball is to be increased.In the figure below, if the motor turns gear A with an angular acceleration of 82 rad/s2. The angular velocity of gear D is
- The velocity of a particle is v = { 3i + (6 - 2t)j} m/s where t is in seconds. If r = 0 when t = 0, determine the magnitude of the displacement In meters of the particle during the time interval t = 1 s to t = 3 s.The acceleration of a particle moving along a straight line is given by? = 6? where a is in m/s2 and t is in seconds. At t = 0, the particle has avelocity of 10 m/s. Find the distance, in m, traveled by the particle after5 seconds.! Use the Given Data in Solving ! Rectilinear Motion: A particle travels in v = (12 - 3t^2) m/s, where t is in seconds. When t = 1 s, the particle is located 32.8 ft to the left of the origin. Determine the displacement (m) from t = 0 t = 10 s, and the distance (m) the particle travels during this time period.
- a. Set up the equations of motion that is required to solve the problem. b. Determine the magnitude of W in the figure so that the 200 lb. body will have an acceleration up the plane of 4.025 fps^2The acceleration of a particle moving along the x-axis at time t is given by a(t) = 4t - 12. If the velocity is 10 when t=0 and the positive is 4 when t=0, then the particle is changing direction at t=?A parachute rises from the ground with a constant acceleration of 2.6 m/s2. 6 secondslater, a ball is thrown vertically upward. What must be the initial speed of the ball for itto touch the parachute? Note that at point of contact their velocity is equal.