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

The velocity (V) versus displacement (S) graph of a particle moving in a straight line is as shown in the figure. Given Vo=4 m/s and So=20 m. At what displacement do velocity and acceleration have the same magnitudes?


A
At S=5 m
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
At S=10 m
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
At S=30 m
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
None of these
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D None of these

For S=0 to S=So
V=VoSSo and a=V2oS2oS
If velocity and acceleration have same magnitudes,
V=aVo=So which is not possible with the given values of Vo and So.
For S=So to S=2So
V=VoSoS+2Vo=420S+2Vo
=S5+8
a=V2oS2o.S2V2oSo=(420)2.S2×4240
=S2585
If velocity and acceleration have same magnitudes,
V=aS5+8=S2585
S=40 m

flag
Suggest Corrections
thumbs-up
2
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Acceleration
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon