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The velocity of a particle moving in a straight line is decreasing at the rate of...
The velocity of a particle moving in a straight line is decreasing at the rate of 3 m/s per meter of displacement at an instant when the velocity is 10 m/s. Determine the acceleration a of the particle at this instant.
Velocity versus displacement curve of a particle moving in a straight line is shown in the figure. From a point P, a line PQ is drawn perpendicular to displacement axis and line PR is drawn normal to the curve at P. The magnitude of acceleration of particle at point P is options: a)1 m/s^2 b) 3 m/s^2 c)2 m/s^2 d) 2.5 m/s^2 v(m/s) \ R s (m) (2,0) (3,0)
4. A particle is moving along a straight line such that its velocity is defined as v -5s2 m/s, where s is in meters. If s 2 m when t0, determine the particle's velocity and acceleration as functions of time.
The velocity of a particle moving along a straight line is given by v = 0.2s1/2 m/s where the position s is in meters. At t = 0 the particle has a velocity v0 = 3 m/s. Determine the time when the particle’s velocity reaches 15 m/s and the corresponding acceleration. Ans: 600 s, a = 0.02 m/s2
1. The acceleration of a particle moving in a straight line is given by a = ut+1. The particle starts out at t=0 s with a position of r=0 m and a velocity of 2.0 m/s. Find its velocity after 5 s.
A particle is moving along a straight line with an initial velocity of 6 m/s when it is subjected to a deceleration of a = (-1.5012) m/s², where vis in m/s. Determine how far it travels before it stops. How much time does this take?
F12-18. A particle travels along a straight-line path y 0.5x. If the x component of the particle's velocity is vr= (2) m/s, where t is in seconds, determine the magnitude of the particle's velocity and acceleration when = 4 s. y =0.5x Prob. F12-18 F12-19. A particle is traveling along the parabolic path y 0.25x. If x 8 m. , 8 m/s, and a, 4 m/s2 when 2 s. determine the magnitude of the particle's velocity and acceleration at this...
A particle travels along a straight line with a velocity v=(12-3t2) m/s, where t is in seconds. When t=1s, the particle is located 10m to the left of the origin. Determine the acceleration when t=4s, the displacement from t=0 to t=10s, the distance the particle travels during this time period.
A particle moving on a straight line has an acceleration of a =(9,9-12,85 - 4,5 s^2) where s is in meters. If initial conditions are all zero determine the position of the particle when the velocity is at its maximum. Yanit: Kontrol et
Mathematics 1E SESSION 1, 2018 A particle undergoing straight line motion has velocity (in ms 9. given by [10 Marks] v(t) = e2 -3e at time t seconds, where t > 0. a) Determine the initial velocity b) Show that the particle is stationary when t In 3 c) Determine an expression for a(t), the acceleration of the particle. d) Given that v(In 2)= -2 and a(ln 2) 2, determine whether the particle's speed is increasing or decreasing when t=...