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3 years ago

14

A hungry hawk was preying on a lizard who was running northwards to get away from the low-flying hawk. If the lizard can run 8m

across water in 4s, what is the lizard's velocity? (Speed: D/T)

1 answer:

Anastaziya [24]3 years ago

8 0

Answer:

2m/s²

Explanation:

velocity = displacement (distance in a specified direction /time

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Mark the co-ordinates of each of the end points of the vectors.

The marked co-ordinates are shown below.

Displacement is the shortest distance between two points. Here, displacement between the starting and end points is the vector $\overrightarrow{OA}$ .

Displacement vector for a point A $(x,y)$ from origin O is given as:

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Magnitude is given as:

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Direction of the vector is given as:

$\theta=tan^{-1}\frac{y}{x}$

Therefore, displacement vector is:

$\overrightarrow{OA}=(12-0)\hat{i}+(7-0)\hat{j}\\ \overrightarrow{OA}=12\hat{i}+7\hat{j}$

Magnitude of displacement is given as:

$|\overrightarrow{OA}|=\sqrt{x^{2}+y^{2}}\\ |\overrightarrow{OA}|=\sqrt{12^{2}+7^{2}}\\ |\overrightarrow{OA}|=\sqrt{144+49}\\\\ |\overrightarrow{OA}|=13.89$

Angle of displacement is:

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4 years ago