# calculus

posted by .

Find the tangential and normal components of acceleration of an object that moves along the parabolic path y=4x^2 at the instant the speed ds/dt=5.

I know how to find the both these given a vector but no idea when given just a path and speed. i figured i had to solve for the curve but the problem doesn't even give me a point so im lost.

## Similar Questions

1. ### Physics

One end of a cord is fixed and a small 0.470-kg object is attached to the other end, where it swings in a section of a vertical circle of radius 2.50 m as shown in the figure below. When θ = 21.0°, the speed of the object is …
2. ### physics

One end of a cord is fixed and a small 0.300 kg object is attached to the other end, where it swings in a section of a vertical circle of radius 2.50 m as shown in the figure below. When è = 15.0°, the speed of the object is 6.20 …
3. ### Physics (Algerbra-based)

A particle is moving clockwise around a circle with a radius 3.31 m. The magnitude of the total acceleration of the particle at the given instant is 14.3 m/s^2; the angle between the vector of total acceleration and the radius-vector …
4. ### Calculus

An object is traveling along the x axis so that its speed is given by v(t)=t^2-7t+10 m/s. (a) Find the times when the object is at rest. (b) Find the acceleration at both of these times. Interpret the acceleration in terms of the motion …
5. ### Calculus

An object is traveling along the x axis so that its speed is given by v(t)=t^2-7t+10 m/s. (a) Find the times when the object is at rest. (b) Find the acceleration at both of these times. Interpret the acceleration in terms of the motion …
6. ### Physics

One end of a cord is fixed and a small 0.270-kg object is attached to the other end, where it swings in a section of a vertical circle of radius 2.50 m, as shown in the figure below. When θ = 18.0°, the speed of the object is …
7. ### Physics

At some instant, a particle traveling in a horizontal circular path of radius 7.80 m has a total acceleration with a magnitude of 15.0 m/s2 and a constant tangential acceleration of 12.0 m/s2. Determine the speed of the particle at …
8. ### Calculus

An object moves from left to right along a parabolic shaped path y=(1/4)x^2. At the point (-2,1) the speed is 1. What normal acceleration is the object experiencing at that point?
9. ### Calculus

Find the tangential and normal components of the acceleration vector. r(t) = t i + t2 j + 4t k aT= aN=
10. ### MATH

An object is moving along a circular path of radius r. (5 marks) (a) Show that its velocity vector is perpendicular to the radial rays at any moment. This conﬁrms that the velocity vector is tangent to the path, as it should be. …

More Similar Questions