wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A particle is projected vertically upwards from O with velocity v and a second particle is projected at the same instant from P (at a height h above O) with velocity v at an angle of projection θ. The time when the distance between them is minimum is


A

h2v sinθ

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

h2v cosθ

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

hv

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

h2v

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D

h2v


Relative acceleration between the two particles is zero. The distance between then at time t is

s = (h (v v sin θ t))2 + (v cos θ t)2

or s2 = (h (v v sin θ t))2 + (v cos θ t)2s is minimum when

or ddt(s2) = 0

or 2(h (v v sin θ)t)(v sin θ v) + 2v2 cos 2θt = 0

or t = h2v


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Relative
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon