A student drives a moped along a straight road as described by the velocity vers

Question

A student drives a moped along a straight road as described by the velocity versus time graph in the figure. The divisions along the horizontal axis represent 2.0 s and the divisions along the vertical axis represent 2.0 m/s. Sketch this graph in the middle of a sheet of graph paper. (Do this on paper. Your will need it to do part (a) and (b).)

A student drives a moped along a straight road as described by the velocity versus time graph in the figure. The divisions along the horizontal axis represent 2.0 s and the divisions along the vertical axis represent 2.0 m/s. Sketch this graph in the middle of a sheet of graph paper. (Do this on paper. Your will need it to do part (a) and (b).)

Explanation / Answer

c)) acceleration = slope = - 4/2 = 2 m/s2

d) area under the v versus t curve gives distance rtraveled ,

so x = 6 x 8 /2 + 8 x 4 + 2 x 8/2   = 64 m

e) xf = 64 + 2 x 8/2 - 8 x 4/2   =56 m

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