Answer:
option (C) the same
Step-by-step explanation:
In the given question , it is mentioned that the ball of mass 0.2 kilograms is thrown with the velocity of 4 m/s in the horizontal direction
and, the 0.4 kilogram green ball is thrown in the horizontal direction with the velocity of 8 m/s
Here in both the cases no component of velocity in the vertical direction is provided.
Hence, it will be a case of free fall in the vertical direction.
Now,
from Newton's equation of motion, we have
[tex]s=ut+\frac{1}{2}at^2[/tex]
here,
s is the distance
a is the acceleration
t is the time
in the above equation, mass has no role and the value of acceleration i.e acceleration due to gravity and distance of fall in the vertical direction is same.
Hence, the time taken for both the balls will be same.
Hence,
The correct answer is option (C) the same
Given the data from the question, the time it takes the red ball to reach the ground is the same as the time it takes the green ball to reach the ground. (Option C)
h = ½gt²
3 = ½ × 9.8 × t²
3 = 4.9 × t²
Divide both side by 4.9
t² = 3 / 4.9
Take the square root of both side
t = √(3 / 4.9)
t = 0.78 s
Since the green ball is thrown horizontally from same height, irrespective of the velocity, it will also get to the ground in 0.78 s
Thus, we can conclude that both balls will get to the ground at the same time.
Learn more about motion under gravity:
https://brainly.com/question/20385439
