Answer:
a) is the velocity of the particle at any time t.
b)
c) The particle is at rest at time t=2 seconds.
d) At time t=2 seconds the particle posses positive velocity being at positive direction.
e)
Explanation:
Given:
The function of displacement dependent on time, .......(1)
a)
<u>Now as we know that velocity is the time derivative of the displacement:</u>
..........................(2)
b)
Now the velocity after 5 seconds:
put t=5 in eq. (2)
c)
When the particle is at rest it has zero velocity.
Now velocity at time t=6 s:
Now velocity at time t=2 s:
The particle is at rest at time t=2 seconds.
d)
Put the value t=2 sec. in eq. (1):
At time t=2 seconds the particle posses positive velocity being at positive direction.
e)
Distance travelled during the first 8 seconds:
put t=8 in eq. (1)