Question
Medium
Solving time: 3 mins
A particle is at the origin of coordinates at time and moves in the plane with a constant acceleration in the -direction. Its equation of motion is where is constant. Its velocity component in the -direction is
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Text solutionVerified
Since acceleration is in -direction and is constant, let's take
Thus
Integrate to get, .
Since the particle starts moving at , thus .
Thus,
Also, integrate once again to get, at
Now, and hence
Differentiate with time to get,
Solve to get
Solving above gives,
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Question Text | A particle is at the origin of coordinates at time and moves in the plane with a constant acceleration in the -direction. Its equation of motion is where is constant. Its velocity component in the -direction is |
Updated On | Aug 15, 2023 |
Topic | Motion in Straight Line |
Subject | Physics |
Class | Class 11 |
Answer Type | Text solution:1 Video solution: 4 |
Upvotes | 532 |
Avg. Video Duration | 8 min |