Consider the function f(t) = 2t^3 which gives the distance of a particle from the origin after time t.
Choose the following statements that are correct.

Question

Consider the function   f(t) = 2t^3  which gives the distance of a particle from the origin after time   t .  Choose the following statements that are correct.

Answer

The instantaneous velocity of the particle between times   t=a  and   t=b  can be found by finding the gradient of the chord between the two points   (a, 2a^3)  and   (b, 2b^3) .

Answer

The average velocity of the particle between times   t=a  and   t=b  can be found by finding the gradient of the chord between the two points   (a, 2a^3)  and   (b, 2b^3) .

Answer

The average velocity of the particle at time   t=a  can be found by finding the gradient of the tangent line at the point   (a, 2a^3) .

Answer

The instantaneous velocity of the particle at time   t=a  can be found by finding the gradient of the tangent line at the point   (a, 2a^3) .

Crowdly

Consider the function f(t) = 2t^3 which gives the distance of a particle from...

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