### Math Notes

Subjects

#### Differential Calculus Solutions

##### Topics || Problems

The distance of y from the origin at time t is given by y =16t2 + 3000 t +1, 000. What is the initial velocity when t = 0?

Solution:

$$\frac{dy}{dt} = v(t)$$

$$\frac{dy}{dt} = 32t 3000$$

At t = 0

$$\frac{dy}{dt} = 32(0) 3000$$

At t = 0

$$\frac{dy}{dt} = 3000$$