Question

) A Car is moving with a non-uniform velocity towards East.

Its velocity changes at different time intervals. Calculate the instantaneous
velocity at time 3 sec. The distance is given by equation 2t2 – 4t

Answer 1

Instantaneous velocity = 8m/s

Step-by-step explanation:

Given the following data;

Distance = 2t² - 4t

Time, t = 3 secs.

To find the instantaneous velocity;

`Velocity = \frac {distance}{time}`

`V(t) = \frac {dd}{dt}`

We would differentiate the equation for the distance with respect to time, t.

`\frac {dd}{dt} = \frac {d(2t^(2) - 4t)}{dt}`

`\frac {dd}{dt} = 4t - 4`

Substituting the value of "t" into the above equation, we have;

`V(3) = 4(3) - 4`

`V(3) = 12 - 4`

Instantaneous velocity = 8m/s