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

A police inspector in a jeep is chasing a pickpocket an a straight road. The jeep going at its maximum speed v (assumed uniform). The pickpocket rides on the motor-cycle of a waiting friend when the jeep is at a distance d away, and the motorcycle starts with a constant acceleration a. The pick pocket will be caught if

A
v2ad
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
v22ad
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
v3ad
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
v2ad2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B v2ad
Answer is A.
Suppose the pickpocket is caught at a time t after motorcycle starts. The distance traveled by the motorcycle during this interval is
s=12at2 ...(1)
During this interval the jeep travels a distance
s + d = vt ...(2)
By (1) and (2),
12at2+d=vt
or,
t=v±v22ada
The pickpocket will be caught if t is real and positive.
This will be possible if
v22ador,v2ad
Hence, the pick pocket will be caught if v22ador,v2ad.

flag
Suggest Corrections
thumbs-up
0
similar_icon
Similar questions
View More
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Motion Under Constant Acceleration
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon