Question

s=4t³+12t+6 find velocity and acceleration​

Answer 1

Answer:

36i - 12j

36i + 12j

6i + 2j

3i + 6j

3i + 2j

Correct answer: 36i + 12j

Explanation:

To find acceleration at time t, we have to differentiate the position vector twice.

Differentiating the first time gives the velocity:

v(t) = r'(t) = 12t3i + 12tj

Differentiating a second time gives the accelaration:

a(t) = r''(t) = 36t2i + 12j

Plug in t=1 to solve for the final answer:

a(1) = r''(1) = 36i + 12j