Q5. The distance time graph of a particle at time t makes an angle 45° with the time axis. After
one second it makes an angle 60° with the time axis. What is the acceleration of the particle?
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The slope at any instant of time in the displacement time graph gives us the instantaneous velocity of the particle. Also, we know that the slope at any point is the tan of the angle it makes with the x axis.
Hence, initially the velocity u= tan45 =1
In the final condition, the velocity v=tan60=√(3)
Now, the average acceleration of the particle in this interval of time, a=(v−u)/time=(v−u)/2
Hence the average acceleration, a=(√(3)−1)/2 .
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