The acceleration of a particle is defined by the relation a = 3e-0.2t where a and t are expressed in m/s² and seconds, respectively. Knowing that x= 0 and v=0 at t=0, determine the velocity and position of the particle when t = 0.5 sec. Ans. 1.427 m/s, 0.363 m

A sprinter in a 100-m race accelerates uniformly for the first 43 m and then runs with constant velocity. The sprinter’s time for the first 43 m is 6.4 s. Determine his acceleration.

A particle is moving along a straight line with an initial velocity of 3 m/s when it is subjected to a deceleration of a = (-1.9 v/2) m/s2, where v is in m/s. Part A Determine how far it travels before it stops. Express your answer to three significant figures and include the appropriate units. HA ? Value Units S = Submit Request Answer Part B How much time does this take? Express your answer to three significant figures and include the appropriate units. HẢ ? t = Value Units Submit Request Answer

-0.2t 3 The acceleration of a particle is defined by the relation a = 3e where a and t are expressed in ft/s² and seconds, respectively. Knowing that at t = 0, x = v=0, determine the velocity and position of the particle when t = 0.5s. ANS. v(t= 0.5 sec)= 1.43 ft/sec x(t = 0.5 sec) = 0.363 ft