Home > Physics > Displacement and Velocity

What is the speed of an object that travels from #( 8 , -3, 6 ) # to #( -8 , -4 ,1 ) # over #2 s#?

Answer 1

Amelia Adams

Speed of object is about #8.4# units per second

The distance between two points #(x_1,y_1,z_1)# and #(x_2,y_2,z_2)# is given by

#sqrt((x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2)#

Hence distance between #(8,-3,6)# and #(-8,-4,1)# is

#sqrt((-8-8)^2+(-4-(-3))^2+(1-6)^2)#

= #sqrt((-16)^2+(-1)^2+(-5)^2)#

= #sqrt(256+1+25)#

= #sqrt282#

= #16.793#

As a distance of #16.793# is covered in #2s#

speed of object is #16.793=8.397~=8.4# per second

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Carson Alexander

To find the speed of an object traveling from one point to another, you can calculate the distance between the two points and divide it by the time taken to travel that distance.

First, find the distance between the two points using the distance formula in three dimensions:

Distance = √((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)

Then, divide the distance by the time taken, which is 2 seconds in this case.

So, you would calculate:

Speed = Distance / Time

Substitute the coordinates into the distance formula, calculate the distance, and then divide it by 2 seconds to find the speed.

By signing up, you agree to our Terms of Service and Privacy Policy

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.