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The time taken by the metal balls of the same size but different weight, to reach the ground will be the same.
Reason behind:
Two metal balls are the same size, but one weighs twice as much as the other. The balls are dropped from the top of a two-story building at the same instant of time. It is required to find the time taken by the balls to reach the ground.
In free fall, all objects experience the same acceleration owing to gravity when they are close to the earth.
is the measure of gravitational acceleration.
Because of this, the two metal balls are the same size but have different masses. The air resistance for both balls will be the same due to their similar sizes. Let, g' be the acceleration in the presence of air resistance. The balls are both discharged at once.
From a height of h, both balls descend due to gravity G'.
Therefore, the time taken by both balls is:
Therefore, the time is independent of mass. Thus the time taken by both the balls, will be about the same.
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Answer:
1) Changing value
2) The velocity is decreasing for upward motion and increasing for downward motion due to gravitational force
Explanation:
1) A trajectory is the motion of an object which is being acted upon by specified forces. The flight path of an object in projectile motion is its trajectory
During the course of a trajectory, the vertical component of the velocity, , is a changing value
2) The vertical component of the velocity first decreases, during the upward motion, according to the following equation;
=
- g·t
Where;
= The vertical component of the velocity after a given time, t
= The initial vertical velocity
t = The time of motion of the trajectory
g = The acceleration due to gravity ≈ 9.8 m/s²
When the vertical velocity of the object decreases to zero, which is the point at which the object reaches the maximum height of its motion, the direction of the vertical motion of the object reverses, and object begins to accelerate and increase its velocity downwards according to the following equation;
=
+ g·t
Therefore, the velocity of the object is decreasing on its way up, and then increasing on its way down.