# Problem: The position of a squirrel running in a park is given by r = [(0.280 m/s)t + (0.0360 m/s  2)t2 ]i + (0.0190 m/s3 )t3 j.(a) What is vx(t), the xexttip{x}{x}-component of the velocity of the squirrel, as function of time?(b) At 5.01 s, how far is the squirrel from its initial position?(c) At 5.01 s, what is the magnitude of the squirrels velocity?(d) What is vy(t), the y-component of the velocity of the squirrel, as function of time?(e) At 5.01 s, what is the direction (in degrees ccw from +x-axis) of the squirrels velocity?

🤓 Based on our data, we think this question is relevant for Professor Stojanovic's class at FIU.

###### Problem Details

The position of a squirrel running in a park is given by r = [(0.280 m/s)t + (0.0360 m/s  2)t2 ]i + (0.0190 m/s3 )t3 j.
(a) What is vx(t), the x-component of the velocity of the squirrel, as function of time?
(b) At 5.01 s, how far is the squirrel from its initial position?
(c) At 5.01 s, what is the magnitude of the squirrels velocity?
(d) What is vy(t), the y-component of the velocity of the squirrel, as function of time?
(e) At 5.01 s, what is the direction (in degrees ccw from +x-axis) of the squirrels velocity?