Question

A particle whose speed is 50 m/sec moves along the line from A(2,1) to B (9,25)

Answer 1

First, calculate for the distance between the given points A and B by using the equation,

D = sqrt ((x2 – x1)2 + (y2 – y1)2)

Substitute the known values:

D = sqrt((9 – 2)2 + (25 – 1)2)

D = 25 m

I assume the unknown here is the time it would require for the particle to move from point A to B. This can be answered by dividing the calculated distance by the speed given above.

t = (25 m)/ (50 m/s) = 0.5 s

Thus, it will take 0.5s for the particle to complete the route.