From fastest to slowest, rank the speeds of the balls 1 s after being thrown. Rank the speeds of the balls from fastest to slowest. To rank items as equivalent, overlap them. Three balls of different masses are thrown straight upward with initial speeds as indicated: PICTURE rank speeds
rank acclerations

Explanation:

From the given figure,

Mass of ball A is 4.9 kg and its initial speed is 8 m/s.

Mass of ball B is 1.9 kg and its initial speed is 14 m/s.

Mass of ball C is 0.7 kg and its initial speed is 2 m/s.

We need to find the final speed of the balls 1 s after being thrown. They all are thrown upward under the action of gravity. The equation of motion is : v = u -gt, g = 10 m/s²

For ball A,

v = 8-10(1) = = -2 m/s (downward)

For B,

v = 14-10(1) = 4 m/s (upward)

For C,

v = 2-10(1) = -8 m/s (downward)

It means the ranking is B>A>C i.e. the speed of ball B is the most and that of C is least.

All the balls are moving under the action of gravity. It would mean that the acceleration for all balls is same i.e. 10 m/s²

resonant frequency

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.