Question

A rope that attaches a swing to a tree is 2.6m and the maximum distance between trajectories is 150 the maximum distance travelled by the swing when the angle is maximum

Answer 1

390.is the best answer

Answer 2

Answer:

Maximum distance traveled by the swing is 6.8 meter

Step-by-step explanation:

Length of the rope = 2.6 m

Now, when the rope is attached to the swing its length will be the radius of the swing

⇒ Radius = 2.6 meter

Maximum difference between the trajectories is given to be 150°

⇒ θ = 150°

Now, to find the length of the arc :

$\text{Length of an arc = }\frac{\theta}{360}\times 2\times \pi\times radius\\\\\implies\text{Length of an arc = }\frac{150}{360}\times 2\times \frac{22}{7}\times 2.6\\\\\implies\textbf{Length of an arc = }\bf 6.8\textbf{ meter}$

Therefore, Maximum distance traveled by the swing is 6.8 meter