Question
Medium
Solving time: 3 mins
A car and a truck move in the same straight line at the same instant of time from the same point. The car moves with a constant velocity of and truck starts with a constant acceleration of . Find the time that elapses before the truck catches the car. Find also the greatest distance between them prior to it and the time at which this occurs.
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Text solutionVerified
After time from start, the position of car from start is
and the position of truck from start is
When truck catches the car
Before this the distance between them is
This distance is maximum when , (using maxima-minima), which gives
or
At , distance between them will be maximum, which is given as
and the position of truck from start is
When truck catches the car
Before this the distance between them is
This distance is maximum when , (using maxima-minima), which gives
or
At , distance between them will be maximum, which is given as
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Question Text | A car and a truck move in the same straight line at the same instant of time from the same point. The car moves with a constant velocity of and truck starts with a constant acceleration of . Find the time that elapses before the truck catches the car. Find also the greatest distance between them prior to it and the time at which this occurs. |
Updated On | Apr 20, 2023 |
Topic | Motion in Straight Line |
Subject | Physics |
Class | Class 11 |
Answer Type | Text solution:1 Video solution: 1 |
Upvotes | 282 |
Avg. Video Duration | 11 min |