Question

The displacement versus time graph of a particle at
time t makes 45° with time axis and in another 2 sec it
makes 60° with time axis. The acceleration of the
particle is​

Answer 1

Answer:

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 .