Posted by **jessica** on Sunday, March 18, 2012 at 1:14pm.

2. An object is moving along the parabola y = 3x^2.

a) When it passes through the point (2, 12), its “horizontal” velocity is dx/dt= 3. What dt

is its “vertical” velocity at that instant?

b)If it travels in such away that dx/dt=3 for all t,then what happens to dy/dt as t→+∞?

￼￼￼￼

c) If, however, it travels in such a way that dy/dt remains constant, then what happens

￼to dx/dt as t→+∞?

- Calculus -
**Steve**, Sunday, March 18, 2012 at 6:01pm
well, since y=3x^2

dy/dt = 6x dx/dt

= 6*2*3 = 36

since dx/dt remains constant, dy/dt gets ever faster as x gets larger.

If, however,

k = 6x dx/dt, then dx/dt gets ever slower as x gets larger

## Answer This Question

## Related Questions

- calculus - An object is moving along the parabola y = 3x^2. (a) When it passes ...
- Calculus - An object is moving along the parabola y = 3x^2. (a) When it passes ...
- Calculus - An object is moving along the parabola y = 3x^2. (a) When it passes ...
- calculus - 2. An object is moving along the parabola y = 3x^2. a) When it passes...
- math - An object is moving along the parabola y = 3x^2. (a) When it passes ...
- physics - You throw a ball toward a wall with a speed of 25m/s and at an angleof...
- Calculus - A particle is moving around the unit circle radius = 1, at .6,.8 the ...
- Physics - An object is thrown from the top edge of a building at a speed of 21....
- Math - Context: The function v(t) represents the velocity of a particle moving ...
- physics - Which one of the following statements about an object performing ...

More Related Questions