Suppose the position of an object moving in a straight line is given by s left parenthesis t right parenthesis equals 5 t squared plus 2 t plus 2. Find the instantaneous velocity when t equals 6. What expression can be used to find the instantaneous velocity at the given time?

v(6) = 62

At any given time: v(t) = 10t + 2

Step-by-step explanation:

The equation that describes the position of the object is:

The instantaneous velocity at any given time, v(t), is the derivate of the position expression:

For t = 6, the instantaneous velocity is:

The instantaneous velocity when t=6 is v(6) = 62 units of distance/units of time.

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this

b

step-by-step explanation: