badge image

Enroll For Free Now & Improve Your Performance.

×
User Icon
User Icon
User Icon
User Icon
User Icon

Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
Menu
Grade: 11

                        

Two highways intersect, as shown in Fig. At the instant shown, a police car P is 41 m from the intersection and moving at 76 km/h. Motorist M is 57 m from the intersection and moving at 62 km/h. At this moment, what is the velocity (magnitude and angle with the line of sight) of the motorist with respect to the police car?

5 years ago

Answers : (1)

Kevin Nash
askIITians Faculty
332 Points
							Assume that the unit vector \widehat{i}points in the positive x direction and the unit vector \widehat{j}points in the positive y direction as shown in figure above.
The velocity of the Police car with respect to ground is:
234-856_1.PNG
The negative sign highlights the fact that the police car moves in a direction opposite to that of unit vector \widehat{i}.
Similarly, the velocity of the motorcyclist with respect to ground is:
234-1551_1.PNG
The negative sign highlights the fact that the motorcyclist moves in a direction opposite to that of unit vector \widehat{j}.
The velocity of the motorcyclist with respect to police car is given as:

234-660_1.PNG
Round off to two significant figures,
234-1999_1.PNG
Therefore, the magnitude of velocity of motorcyclist with respect to police car is 98 km/h .
234-2307_1.PNG
Round off to two significant figures,
θ = - 39°234-1278_1.PNG
Here, L is the separation between the motorcyclist and the intersection point whereas H is the separation between the police car and intersection point (refer figure).
234-1304_1.PNG
Round off to two significant figures,
234-595_1.PNG
5 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies


Course Features

  • 101 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

  • 110 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details