A graph between the square of the velocity of a particle and the distance s moved by the particle is shown in the figure. The acceleration of the particle in km/h2 is :

Foundation

Physics Foundation

graph in motion

Speed Velocity and Acceleration

Question

A graph between the square of the velocity of a particle and the distance s moved by the particle is shown in the figure. The acceleration of the particle in km/h² is :

–225

2250

225

– 2250

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From the graph the square of initial velocity = 3600 unit

The square of final velocity = 900 unit

then from 3rd equation of motion :

v² = u² + 2as. s = 0.6 km

or a = $\frac{v^{2} - u^{2}}{2 s} = \frac{2700}{1.2}$ = – 2250 km/h²