Ball Thrown well!

Classical Mechanics Level 4

What is the maximum angle θ max \theta_\text{max} to the horizontal at which a ball can be thrown such that its distance from the thrower is always increasing.

Find the value of 9 sin ⁡ 2 θ max 9\sin ^{ 2 }\theta_\text{max} .


The answer is 8.

Anshul Yadav by Anshul Yadav , 24, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

3 solutions

Gyanendra Prakash
Aug 21, 2016

A pretty cute problem

I hope this explains well.

0 Helpful 0 Interesting 1 Brilliant 0 Confused
Avi Ghanshani
Mar 31, 2016

For distance to be increasing always,angle between velocity and distance should always be less than 90 degree.This implies, dot product, v(vector).r(vector)>0

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Pratik Shastri
Dec 16, 2014

I guess that the problem is asking for 9 sin ⁡ 2 θ max 9 \ \sin^2 \theta_{\text{max}} .

0 Helpful 0 Interesting 0 Brilliant 0 Confused

This is what I did. I was a bit confused so I guessed. Turns out it was correct. Did you squeeze the distance out using determinants and stuff like I did?

A Former Brilliant Member - 6 years, 5 months ago

Log in to reply

If you mean the distance between the ball and the thrower, no. Good old distance formula does the trick.

Pratik Shastri - 6 years, 5 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...