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

The displacement of a particle varies with time t as: s=αt2βt3. Determine the time (t) at which acceleration of the particle becomes 0.

A
αβ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
α3β
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
3βα
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
2α3β
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B α3β
Given,
s=αt2βt3
Differentiating s w.r.t t we get,
v=dsdt=2αt3βt2
Differentiating v w.r.t t we get, a=dvdt=2α6βt
As a=0, we get 2α6βt=0t=α3β

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