Assertion: Distance-time graph of themotion of a body having uniformlyaccelerated motion is a straight lineinclined to the time axisReason: Distance travelled by a bodyhaving uniformly accelerated motion isdirectly proportional to the square ofthe time taken
Question
Assertion: Distance-time graph of themotion of a body having uniformlyaccelerated motion is a straight lineinclined to the time axisReason: Distance travelled by a bodyhaving uniformly accelerated motion isdirectly proportional to the square ofthe time taken
Solution
The assertion is incorrect while the reason is correct.
The distance-time graph of a body having uniformly accelerated motion is not a straight line inclined to the time axis. Instead, it is a parabolic curve. This is because the distance covered by an object moving with uniform acceleration is proportional to the square of the time taken, not directly proportional to time.
The reason is correct because, according to the second equation of motion, the distance (s) travelled by a body moving with uniform acceleration (a) is given by s = ut + 1/2at^2, where u is the initial velocity and t is the time. This shows that the distance travelled is directly proportional to the square of the time taken.
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