When you start from your house, your bike’s speedometer dial shows a reading of 842 Km. After you go on a straight road for half an hour the dial shows 854km. At this point you pickup your friend and take a right turn and travel on a straight road for another 15 minutes. At the end your dial reads 859 km. Find the magnitude of your displacement?

S = 12757.5 m

Explanation:

A magnitude of the displacement can be obtained by visualizing the walking. The actual path from A to B Is 3 m then from B to D as 5 m and finally from D to E as 6 m. |S| =√92+52 = 10.29 m. The direction of Resultant displacement is South East.

Solving for the different variables we can use the following formulas:  

Given initial velocity, final velocity, and time calculate the displacement.

s = ½( v + u )t

Given displacement, time, and initial velocity calculate the final velocity.

v = 2s/t - u

Given displacement, time, and final velocity calculate the initial velocity.

u = 2s/t - v

Given initial velocity, final velocity, and time calculate the displacement.

t = 2s/ ( v + u )

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