What is the speed of an object that travels from #( -9,0,1) # to #( -1,4,-6 ) # over #2 s#?

Answer 1

#"The speed of object is : "v=5.68 " unit"/s#

#"Speed of an object is given as " v=("distance")/("time elapsed")#
#"distance between (-9,0,1) and (-1,4,-6) is:"#
#Delta x=sqrt((-1+9)^2+(4-0)^2+(-6-1)^2)#
#Delta x=sqrt(8^2+4^2+(-7)^2)#
#Delta x=sqrt(64+16+49)#
#Delta x=sqrt(129)#
#Delta x=11.36" unit"#
#v=(11.36)/(2)#
#v=5.68 " unit"/s#
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Answer 2

To find the speed of the object, calculate the displacement vector between the initial and final positions. Then, divide the magnitude of the displacement vector by the time taken.

Displacement vector = Final position - Initial position = (-1, 4, -6) - (-9, 0, 1) = (8, 4, -7)

Magnitude of displacement vector = sqrt(8^2 + 4^2 + (-7)^2) = sqrt(64 + 16 + 49) = sqrt(129)

Speed = Magnitude of displacement vector / Time taken = sqrt(129) / 2 s

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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