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

Answer:

Instantaneous velocity = 8m/s

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