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An Ant Travels a Distance of 8 Cm from P to Q and Then Moves a Distance of 6 Cm at Right Angles to Pq. Find Its Resultant Displacement. - CBSE Class 9 - Science

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Question

An ant travels a distance of 8 cm from P to Q and then moves a distance of 6 cm at right angles to PQ. Find its resultant displacement.

Solution

We have to find the resultant displacement from the given diagram :

We have: 
PQ = 8 cm and QR = 6 cm
Resultant displacement :
`PR = sqrt(PQ^2 + QR^2)`
= `sqrt(64+36)`
= `sqrt(100)`
= 10 cm
The direction of this displacement is from P to R. If θ is the angle made by PR with PQ then,'
`tan  θ = "RQ"/"PQ"`
⇒ `tan θ = 36/64`
⇒ `θ = tan^-1 0.5625`
⇒ `θ = 29.36^circ`
This is the angle made by the resultant with PQ . 

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Solution An Ant Travels a Distance of 8 Cm from P to Q and Then Moves a Distance of 6 Cm at Right Angles to Pq. Find Its Resultant Displacement. Concept: Distance and Displacement.
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