4. 2D Kinematics

The position of a squirrel running in a park is given by $\(\vec{r}\) = \(\left\)[ (0.280~\(\mathrm{m/s}\))t + (0.0360~\(\mathrm{m/s^2}\))t^2 \(\right\)] \(\hat{i}\) + (0.0190~\(\mathrm{m/s^3}\))t^3 \(\hat{j}\)$. At $t=5.00s$, how far is the squirrel from its initial position?

A particle's trajectory is described by $x=(\frac{1}{2}{t}^3-2t^2)\text{m}\text{and}y=(\frac{1}{2}{t}^2-2t)\text{m},$ where $t$ is in $s$. What are the particle's position and speed at $t=0\text{ s}$ and $t=4\text{ s}$?

If a driver looks down for $1$ second while driving at $65$ miles per hour, approximately how far does the car travel during that time?

When an object moves from one point to another in two-dimensional space, which quantity best describes the change in its position?

Which statement about motion in the universe is NOT true?

Which of the following best describes the motion of skiers moving down a slope in terms of position and displacement in two dimensions?

Two spacecraft are following paths in space given by $r_1\left(t\right)=2ti+3t{j}^2$ and $r_2\left(t\right)=4i+6tj$, where $t$ is in seconds and positions are in meters. What is the displacement vector from spacecraft 1 to spacecraft 2 at $t=1$ s?

Emmy is standing on a moving sidewalk that moves at a constant velocity of $2m/s$ to the right. If she walks forward on the sidewalk at $1m/s$ relative to the sidewalk, what is her total velocity relative to the ground?

A cylindrical cable hangs vertically with a weight suspended from its lower end. If the cable has length $L$ and the weight causes the cable to stretch by a displacement $\Delta L$, which of the following best describes the direction of the displacement vector at the point where the weight is attached?

Which of the following coordinates are dependent on the location of the observer?

If the end of the cable at point A is pulled downward with a speed of $2m/s$, what is the magnitude of the displacement of point A after $5$ seconds?

Compared to swerving in a straight line, swerving in a curve requires more:

Compared to moving in a straight line, swerving in a curve at constant speed means that the object experiences which of the following changes?

A car moves along a straight path with its position given by $x=3t+t^2$ meters, where $t$ is in seconds. What is the distance $d_{0,2}$ traveled by the car between $t=0$ s and $t=2$ s?

Which branch of physics is concerned with the study of objects at rest or moving at a constant speed, without considering the causes of motion?