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Natasha_Volkova [10]
3 years ago
7

An insect meanders across a sidewalk. The insect moves 15cm to the right, 10cm up the sidewalk and 8cm to the left. What is the

magnitude and direction of the insect's total displacement?
Physics
1 answer:
IRISSAK [1]3 years ago
8 0

Answer:12.206 cm,\theta =54.99^{\circ}

Explanation:

Given

Insect walks 15 cm to the right

so its position vector isr_1=15i

Now it moves 10 cm up so its new position vector

r_2=15i+10j

Now it moves 8 cm left so its final position vector is

r_3=15\hat{i}+10\hat{j}-8\hat{i}=7\hat{i}+10\hat{j}

so its displacement is given by

|r_3|=\sqrt{7^2+10^2}=\sqrt{149}=12.206 cm

For direction, let \theta is the angle made by its position vector with x axis

tan\theta =\frac{10}{7}=1.428

\theta =54.99^{\circ}

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