2. A mouse enters a basement room through a hole in one of the walls. It then travels through the room before running out through a hole in another wall. The mouse is filmed by a surveillance camera on the ceiling. A physics student analyzes the recording and sets up the equations for movement to the mouse. The student uses x and y axes along the two walls with holes in them. The x and y positions as a function of time are x (t) = −0.10 m / s2 · t2 + 1.8 m / s · t y (t) = −0.20 m / s2 · t2 + 2.0 m / s · t + 3.0 m (a) Draw the motion of the mouse in the xy plane. For example, you can plot the position every second. (b) Determine the speed and acceleration of the mouse after 3.0 s. Draw the vectors in the figure in (a). (c) When does the mouse run out through the second hole?
2. A mouse enters a basement room through a hole in one of the walls. It then travels through the room before running out through a hole in another wall. The mouse is filmed by a surveillance camera on the ceiling. A physics student analyzes the recording and sets up the equations for movement to the mouse. The student uses x and y axes along the two walls with holes in them. The x and y positions as a function of time are
x (t) = −0.10 m / s2 · t2 + 1.8 m / s · t
y (t) = −0.20 m / s2 · t2 + 2.0 m / s · t + 3.0 m
(a) Draw the motion of the mouse in the xy plane. For example, you can plot the position every second.
(b) Determine the speed and acceleration of the mouse after 3.0 s. Draw the vectors in the figure in (a).
(c) When does the mouse run out through the second hole?
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 4 images
