The instantaneous velocity is how the position is changing with respect to time in a specific point in time, as opposed to the average value given by Delta(x)/Delta(t). It's given by taking a limit of Delta(x)/Delta(t) where t approaches 0, that is, by derivating x(t) in respect to t.
v(t) = x'(t) = (28 + 12.4t + 0.045t^3)' = 12.4 + 0.135t^2
But we want to find the velocity at t = 8s:
v(8) = 12.4 + 0.135*(8)^2 = 21.04m/s
Answer:
lesser time
Explanation:
The latent heat of fusion is defined as the amount of heat required to convert 1 gram of water into 1 gram of ice at constant temperature called melting point.
In this situation only the state of matter is changed, the temperature of the substance remains constant.
A liquid has lower latent heat rather than water, it means it requires lesser amount of heat to fuse it , so it requires lesser amount of time to melt the ice made by this liquid.
So, it requires lesser time.