Answer:
a) - 10 m/s
b) 10 m/s
c) - 10 m/s²
Step-by-step explanation:
<u>Given, a particle moving on the x-axis. Its position is:</u>
- x = 2t^2 - 12t + 4, t ≥ 0
Let's assume unit of x is m.
<u>For t= 0,</u>
<u>For t = 1,</u>
- x = 2*1^2 - 12*1 + 4 = 2 - 12 + 4 = - 6 m
a) <u>Velocity at time t=1</u>
Velocity = displacement/time = (-6- 4)/1 = - 10 m/s as it moves to the left
b)<u> Speed at time t = 1</u>
Speed = distance/time = (4 + |6|)/1 = 10 m/s
c) <u>Acceleration at t = 1</u>
Acceleration is rate of change of velocity.
It took 1 sec to change velocity from 0 to - 10 m/s
<u>So acceleration is: </u>