Question
Thu April 12, 2012 By: Anshul

A VEHICLE IS MOVING IN NORTH DIRECTION WITH SPEED 50km/hr. IT SUDDENLY TAKES A 90degrees SHARP LEFT TURN WITH THE SAME SPEED. WHAT IS THE CHANGE IN VELOCITY OF THE VEHICLE BOTH IN MAGNITUDE AS WELL AS DIRECTION?

Expert Reply
Thu April 12, 2012
The vehicle is moving initially in North direction with the speed of 50km/hr. On taking the 90 degrees left turn its direction becomes to west. So, change in velocity is given by final velocity minus the initial velocity. Final velocity is in west direction with magnitude of 50km/hr, so change will be in the direction of west - north, that is west + south, that is south west at an angle of 45 degrees from south as well as west. And the magnitude will be resultant of 50km/hr at 90 degrees so that becomes 50?2 km/hr.
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