Question If the number is a decimal please include 4 digits past the decimal point if available.

(a) acceleration = change in velocity / time interval

acceleration = (21i - 5j) - (4i + 5j) / 24

acceleration = 17i - 10j / 24

acceleration = 0.70833i - 0.4166j

Therefore,

ax = 0.70833

ay = - 0.4166

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(b) direction = arctan (-0.4166 / 0.70833)

direction = 30.46 degree below the +x axis or 329.5 degree counterclockwise from positive x axis.

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(c) x = -10 + 4*34 + 0.5*0.70833 * 342

x = -10 + 136 + 409.41

x = 535.41 m

y = - 4 + 5*34 - 0.5*0.4166 *342

y = -4 + 170 - 240.8

y = -74.8 m

direction will be

theta = arctan (5 - 0.4166 * 34 / 4 + 0.70833 *34)

theta = arctan ( -9.1644 / 28.1)

theta = 18.1 degree ( or 341.9 degree counterclockwise from + x axis)

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