Question

If v = 2 sin20t then dv/dt at π/60 =
​

Answer 1

Answer:

$20$

Step-by-step explanation:

$\frac{dv}{dt} = \frac{d(2 \sin(20t) )}{dt} = 2 \times 20 \times \cos(20t) \\ \\ = 40 \cos(20t) = 40 \cos(20 \times \frac{\pi}{60} ) = 40 \times \cos( \frac{\pi}{3} ) \\ \\ = 40 \times \frac{1}{2} \\ \\ = 20$