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

A constant force of 5 N is acting on a body. If x(t) is the dispacement at time t, v(t) velocity at time t, m mass of the body, which of the following differential equations represent the situation?

A
mdx(t)dt=5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
mdv(t)dt=5
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
md2x(t)dt2=5
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
5dx(t)dt=m
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct options are
B mdv(t)dt=5
C md2x(t)dt2=5
Using the second law of motion F=ma, and acceleration a is the rate of change of velocity i.e. a=dv(t)dt and velocity is the rate of change of displacement i.e.
v=dx(t)dt.
So a=dvdt=ddt(dxdt)=d2xdt2

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