A particle is moving on the x-axis. Its position is given by x = 2t^2 - 12t + 4 for times t ≥ 0

a) - 10 m/s

b) 10 m/s

c) - 10 m/s²

Step-by-step explanation:

Given, a particle moving on the x-axis. Its position is:

Let's assume unit of x is m.

For t= 0,

For t = 1,

a) Velocity at time t=1

Velocity = displacement/time = (-6- 4)/1 = - 10 m/s as it moves to the left

b) Speed at time t = 1

Speed = distance/time = (4 + |6|)/1 = 10 m/s

c) Acceleration at t = 1

Acceleration is rate of change of velocity.

It took 1 sec to change velocity from 0 to - 10 m/s

So acceleration is:

so far i think you have the right thing going for you just remember soh cah toh

step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse