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Grade 12th passMechanics

a motor car is going due north at a speed of 50km/h. it makes a 90 degree left turn without changing the speed. the change in the velocity of the car is about.
  1. 80km.h towards west
  2. 70kmk/h towards south – west
  3. 70km/h towards north west
  4. zero

Profile image of anurag ramteke
11 Years agoGrade 12th pass
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5 Answers

Profile image of stenly
11 Years ago
the magnitude remains constant while the direction changes.draw the resultant.the resultant will be along north west..so, the change in vel is 70kmph towards north-west.
Profile image of Rahul
9 Years ago
Use vector concept.. The resultant will be obtained by us in northwest direction so by using triangle law of vector addition we get the ans 70km/hr in north west direction
Profile image of Manisha
8 Years ago
The above process is correct but the direction should be south west.Using vector formula u can calculate the magnitude and by drawing diagram the direction.
Profile image of Jitendra
8 Years ago
answer will be 70.7 km/h towards south-west
consider these velocities on an x-y plane with vectors i and j (+i = East, -i = West, +j = North, -j = South): 

initial velocity = 50j. 

final velocity = -50i. 

change in velocity (Δv) = final velocity – initial velocity = -50i -50j 
 
and  -i direction (west) and -j direction (south), so the total change in velocity will be pointing towards the southwest.

|Δv| = √[(-50)² + (-50)²] 
|Δv| = 70.7 km/h
Profile image of Kushagra Madhukar
6 Years ago
Dear student,
Please find the attached solution to your problem below.
 
Consider these velocities on an x-y plane with vectors i and j (+i = East, -i = West, +j = North, -j = South):
initial velocity = 50j.
final velocity = -50i.
change in velocity (Δv) = final velocity – initial velocity = -50i -50j
and  -i direction (west) and -j direction (south), so the total change in velocity will be pointing towards the southwest.
|Δv| = √[(-50)² + (-50)²]
|Δv| = 70.7 km/h
Hence, 70 km/h towards south – west will be the correct option.
 
Thanks and regards,
Kushagra