1) Position of a body moving in a straight path is given with the formula x(t)= tan(t) + t? and at certain values position values are shown below. Find its velocity by using forward, backward and the centred difference formulas at the given values and compare with the exact results. (Make sure to use each difference formulas for different values and specify in your solution.) 0.8 0.6 0.7 X(1)0.3993 0.5828 0.7963 1.0441 0.3 0.4 0.5 0.9 1.3323 1.6696 2.0702 2.5574 V(1)

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1) Position of a body moving in a straight path is given with the formula
X(t)= tan(t) + t? and at certain values position values are shown below. Find its
velocity by using forward, backward and the centred difference formulas at the
given values and compare with the exact results. (Make sure to use each
difference formulas for different values and specify in your solution.)
0.3
0.5
0.7963
0.8
0.9
1
0.6
1.0441
0.4
0.7
X(t) | 0.3993 0.5828
1.3323 1.6696 2.0702 2.5574
V(1)
Transcribed Image Text:1) Position of a body moving in a straight path is given with the formula X(t)= tan(t) + t? and at certain values position values are shown below. Find its velocity by using forward, backward and the centred difference formulas at the given values and compare with the exact results. (Make sure to use each difference formulas for different values and specify in your solution.) 0.3 0.5 0.7963 0.8 0.9 1 0.6 1.0441 0.4 0.7 X(t) | 0.3993 0.5828 1.3323 1.6696 2.0702 2.5574 V(1)
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