contestada

An object moves along the x-axis so that the position at any time t₀ is given by x(t)s(t) . Find the velocity of the object as a function of t .
a. v(t) = x'(t)s(t) + x(t)s'(t)
b. v(t) = x'(t)s'(t)
c. v(t) = x(t)s(t)
d. v(t) = x''(t)s(t) + x(t)s''(t)

Respuesta :

sqdancefan

Answer:

  a. v(t) = x'(t)s(t) + x(t)s'(t)

Step-by-step explanation:

Given an object's position on the x-axis is given by x(t)s(t), you want the velocity of the object.

Velocity

The velocity is the derivative of position. The derivative of a product is found using the relation ...

  (uv)' = u'v +uv'

In this case, that means ...

  v(t) = (x(t)s(t))'

  v(t) = x'(t)s(t) +x(t)s'(t) . . . . . matching choice A

Otras preguntas