# Problem: The vector position of a particle varies in time according to the expression r S 5 3.00i ^ 2 6.00t 2 j ^ where r S is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (b) Determine the acceleration of the particle as a function of time. (c) Calculate the particle's position and velocity at t 5 1.00 s.

###### FREE Expert Solution
99% (206 ratings)
###### Problem Details

The vector position of a particle varies in time according to the expression r S 5 3.00i ^ 2 6.00t 2 j ^ where r S is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (b) Determine the acceleration of the particle as a function of time. (c) Calculate the particle's position and velocity at t 5 1.00 s.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Instantaneous Acceleration in 2D concept. You can view video lessons to learn Instantaneous Acceleration in 2D. Or if you need more Instantaneous Acceleration in 2D practice, you can also practice Instantaneous Acceleration in 2D practice problems.