A swimmer is approaching the shore with a speed of 53ms−1. At the instant when it is at a distance of 303m from the shore, he projects a ball at an elevation of 30° for it to just reach the shore. The speed of stone relative to swimmer is 5x ms−1. Find the value of x.

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

answer is 4.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Here, ux=53+urel cos⁡30∘and uy=urel sin⁡30∘∴ 303=53+urelcos⁡30∘Tand T=2uyg=2urelsin⁡30∘g=urelg∵ 303=53urelg+32gurel2⇒ 300=5urel +urel 22⇒ urel22+5urel−300=0⇒ urel2+10urel−600=0∴ urel=−10±100+24002=−10±502=402=20ms−1∴ n=4

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET