A man moves in an open field such that after | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The man moves $10 \, m$ and turns $60^{\circ}$ to the left. This path forms the sides of a regular hexagon.After $6$ turns,the man returns to the

Vedclass · Accepted Answer

$17.32$

Vedclass · Answer

(C) The man moves $10 \, m$ and turns $60^{\circ}$ to the left. This path forms the sides of a regular hexagon.After $6$ turns,the man returns to the starting point because $6 	imes 60^{\circ} = 360^{\circ}$.At the start of the $7^{	ext{th}}$ turn,he has completed $6$ segments and is at the origin. He then moves $10 \, m$ for the $7^{	ext{th}}$ segment.At the start of the $8^{	ext{th}}$ turn,he has completed $7$ segments. The displacement is the distance between the starting point and the end of the $7^{	ext{th}}$ segment.Since the first $6$ segments form a closed hexagon,the displacement after $7$ segments is simply the length of the $7^{	ext{th}}$ segment,which is $10 \, m$. However,if the question implies the displacement after $7$ segments where each segment is at $60^{\circ}$ to the previous one,the displacement after $n$ segments is $d = 2R \sin(n	heta/2)$. For $n=7$ and $	heta=60^{\circ}$,$d = 2(10) \sin(7 	imes 30^{\circ}) = 20 \sin(210^{\circ}) = 20(-0.5) = -10$. The magnitude is $10 \, m$. Wait,re-evaluating: After $7$ segments,the position is $10 \, m$ from the origin at an angle of $60^{\circ}$ from the first segment. The displacement is $10 \, m$.

$A$ man moves in an open field such that after moving $10 \, m$ on a straight line,he makes a sharp turn of $60^{\circ}$ to his left. The total displacement just at the start of the $8^{\text{th}}$ turn is equal to ........ $m$.

Similar Questions

For a particle showing motion under the force $F = -5(x - 2)^2$,the motion is .......

$A$ particle is constrained to move on a straight line path. It returns to the starting point after $10\, s$. The total distance covered by the particle during this time is $30\, m$. Which of the following statements about the motion of the particle is false?

$A$ body is projected vertically up with a velocity $v$ and after some time it returns to the point from which it was projected. The average velocity and average speed of the body for the total time of flight are

Let $v$ and $a$ denote the velocity and acceleration respectively of a body. Which of the following statements is correct?

Vedclass Test Series

Exam Paper Generator

Online Exam Module