A little mouse runs in a straight line, which we shall call the x axis. As an ea

Question

A little mouse runs in a straight line, which we shall call the x axis. As an eager scientist, you record its position as a function of time and use the information you obtain to construct the graph plotted in the figure (Figure 1) , which shows the mouse

A little mouse runs in a straight line, which we shall call the x axis. As an eager scientist, you record its position as a function of time and use the information you obtain to construct the graph plotted in the figure (Figure 1) , which shows the mouse's position x as a function of time t. You have adopted the usual sign convention according to which quantities to the right are positive and those to the left are negative. Use the information on the graph to answer the following questions. What is the magnitude of the mouse's initial velocity? What is the mouse's maximum speed? Through what total distance has the mouse moved during the first 10 s?

Explanation / Answer

initial velocity = 40/3 = 13.3 cm/s = 0.133 m/s

max speed = 40/1 = 40 cm/s = 0.4 m/s

total distance moved = 40+40+10+10+15 = 115 cm = 1.15 m

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