A collar slides at a constant speed (V0) on a parabolic trajectory of the form y=(x-4)2 Determine: a) The x and y components of its velocity at any point on the curve. b) the vertical velocity when the collar has traveled 1m horizontally from the origin c) the vertical velocity when the collar has traveled 4m horizontally from the origin

A bead M slides without friction on a rigid wire (T). This rigid wire rotates around the Z axis of a fixed reference frame with constant angular velocity vector . A rotating reference frame is attached to the rigid wire (T). a) Determine the velocity and acceleration vectors of the bead M with respect to the rotating frame given that its position vector is: where is positive constant.

3) Two particles, A & B, move along parallel rectilinear paths. At t=0 the particles are directly opposite one another. Particle A moves according to SA = 12t² - 4t³ inches and particle B moves with a constant speed of 12 inches/ second. (a) Determine the relative position of A with respect to B at t = 1 second. (b) Determine the relative velocity of A with respect to B at t = 1 second. ANS. SA/B = -4 inches VA/B = 0 inches/sec

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A police car is traveling at a velocity of 20.0 m/s due north, when a car zooms by at a constant velocity of 47.0 m/s due north. After a reaction time 0.800 s the policeman begins to pursue the speeder with an acceleration of 3.00 m/s^2. Including the reaction time, how long does it take for the police car to catch up with the speeder? Number i Units Vos A VOS North AVP AVOP AVOP Police car catches up with speeder ↑ ap Police car begins to accelerate - Speeder passes police car

Q No 1:  The position of a particle moving along the x-axis is given by x=A+B t3,              where A=9.75 cm and B=1.50cm/s3.consider the time interval t=2 to t=3s and             calculate (a).the average velocity; (b).the instantaneous velocity at t=2s;(c). the             instantaneous velocity at t=3s;(d). the instantaneous velocity at t=2.5s;(e). the             instantaneous velocity when the particle is midway between its positions at t=2s             and t=3s.

Consider a satellite on a trajectory around Earth. The velocity of the satellite is 0.1 ê, + 8.1 êg km/s over a range of time of interest. What is the magnitude of Coriolis acceleration in m/s? at an instant when the altitude is 700 km. Assume radius of Earth to be: 6378 km.

A particle moves along the x- axis. The function (t) gives the particle's position at any time t > 0: x(t) = t³ - 4t² + 3t - 2 What is the particle's velocity v(t) at t = 2?