A classroom clock has a small magnifying glass embedded near the end of the minute hand. The magnifying glass may be modelled as a particle. The class begins at 7:55 and ends at 8:50. The length of the minute hand is 0.300 m. (a) Determine the average velocity over the given time period of the magnifying glass. Use the coordinate system shown in the figure. Give your answer in unit vector notation in Cartesian co-ordinates. [4] (b) Determine the magnitude and direction of the average velocity in (a). [2] (c) Determine the average speed of the magnifying glass. [2]
A classroom clock has a small magnifying glass embedded near the end of the minute hand. The
magnifying glass may be modelled as a particle. The class begins at 7:55 and ends at 8:50. The length
of the minute hand is 0.300 m.
(a) Determine the average velocity over the given time period of the magnifying glass. Use the
coordinate system shown in the figure. Give your answer in unit vector notation in Cartesian
co-ordinates. [4]
(b) Determine the magnitude and direction of the average velocity in (a). [2]
(c) Determine the average speed of the magnifying glass. [2]
(d) Consider the instantaneous velocity of the magnifying glass when the minute hand points to
the number 10 and also the number 11. Draw a neat sketch (or sketches if it is going to be
neater) indicating the average velocity determined in (a) and the instantaneous velocities when
the minute hand points to the number 10 and then the number 11 on the clock-face. Clearly show
the angles which these three vectors make with the x-axis, with their values.
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