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,
a_{x} = 0.70833
a_{y} = - 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 * 34^{2}
x = -10 + 136 + 409.41
x = 535.41 m
y = - 4 + 5*34 - 0.5*0.4166 *34^{2}
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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