Question

The motion of a particle is defined by the relation x = t4 - 10t2 + 8t + 12, where x and t are expressed in inches and seconds, respectively. Determine the position, the velocity, and the acceleration of the particle when t = 1s.​

Answer 1

Explanation:

at t=1 sec

x=11 m

dx/dt=4t^3+20t+8=v

at t=1 sec

v=32 m/s

a=12t^2+20

at t= 1 sec

a=32 m/s^2

Answer 2

Answer:

The motion of a particle is defined by the relation x =t4 -10t2 +8t + 12, where x and t are expressed in inches and seconds, respectively. Determine the position, the velocity, and the acceleration of the particle when t=1 s. Determine the position, the velocity, and the acceleration of the particle when t=1 s.