Beginning at point A it time t 0 and with no initial veloci

Beginning at point A it time t = 0 and with no initial velocity, a particle P moves in a horizontal straight line according to x = 3t^2, where x is in m and t is in s. When t = 1 s, determine thye value of theta. 0.435 rad/s 1.286 rad/s -0.882 rad/s -0.787 rad/s 0 882 rad/s -1 286 rad/s 0.787 rad/s None of the above When t = 1 s, determine the value of r. 1.453 m/s^2 8 38 m/s^2 -7.63 m/s^2 9.70 m/s^2 -8 38 m/s^2 7.63 m/s^2 -9.70 m/s^2 None of the above

Solution

10. tan = 5/3t^2

Differentiating both sides w.r.t. t,

(sec)^2* d/dt = -10/3t^3

d/dt= -10(cos)^2/3t^3

At t=1

tan= 5/3, so, =71.565 deg.

d/dt= -10(cos71.565)^2/3*1^3

   = -0.333 rad/s