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?

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