(a) An object moving with some velocity 'x' accelerates uniformly to velocity 'y'in time 't'. Draw
a velocity time graph to represent its motion.
(b) Also derive the relation between its acceleration 'a', initial velocity, final velocity and
distance covered by it during its motion.
(c) Draw a velocity time graph to show uniform motion. (Non-anonymous question )
Answers
Explanation:
Displacement (s) of an object equals, velocity (u) times time (t), plus ½ times acceleration (a) times time squared (t2). Use standard gravity, a = 9.80665 m/s2, for equations involving the Earth's gravitational force as the acceleration rate of an object.
This gives us the velocity-time equation. If we assume acceleration is constant, we get the so-called first equation of motion [1]. Again by definition, velocity is the first derivative of position with respect to time.
...
calculus derivations.
Displacement is the vector difference between the ending and starting positions of an object. Velocity is the rate at which displacement changes with time. It is a vector, too. The average velocity over some interval is the total displacement during that interval, divided by the time.