What is the speed of an object that travels from #(4,-7,1) # to #(-1,9,3) # over #6 s#?

1 Answer
Jan 29, 2016

Answer:

Velocity #v=2.81ms^-1#

Explanation:

Well, first we need to find the displacement of the object.

The initial point is #(4,-7,1)# and the final point is #(-1,9,3)#
So, to find the least displacement, we use the formula
#s=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}#

Taking the initial points as that of #x_1# and so on, with the final points as the other, we find #s=16.88m#

Now, the total time taken for this transit is #6s#
So, the velocity of the object in this transit would be #16.88/6=2.81ms^-1#