The relation between time ' t ' and distance ' x ' is t= αx2+βx, where α and β are constants. The relation between acceleration (a) and velocity (v) is:

The relation between the’t’ and distance 'x' is t = ax2+bx, where a & b are constants. The  retardation is:  (a) 2a.v3 (b) 2b.v3 (c) 2ab.v3 (d) 2b2v3

A particle moves a distance x in time t according to equation x = (t + 5)–1. The acceleration of the particle is proportional to :(velocity)3/2 (distance)2 (distance)–2(velocity)2/3

When the initial and final velocities are u and v, respectively, a is the acceleration and t the time, then

The dependence of velocity of a body with time is given by the equation v=20+0.1t2. The body is inuniform retardationuniform accelerationnon-uniform accelerationzero acceleration.

What does the slope of the distance-time graph give?a. speedb. velocityc. accelerationd. displacement