ball is dropped from certain height another ball is projected horizontally from the same point . Which statement is correct A BOTH HIT GROUND AT SAME VELOCITY B BOTH HIT GROUND AT SAME SPEED C change of velocity during path for both balls is same D change of SPEED during path for both balls is same
Consider the ball which is droped from certain height as vertical component and the other one which is projected horizontally from the same point as horizontal component the ball which is droped from certain height will aquire the same velocity as the one which is projected horizontally from the same point it is because both the components of velocity aquires the same distance which is covered at the same time as the ball stated from the same point where it was droped
The correct statement is D) The change of speed during the path for both balls is the same.
When a ball is dropped from a certain height, it accelerates due to gravity. The acceleration is constant and always acts vertically downwards. As the ball falls, its speed increases continuously.
When a ball is projected horizontally, its initial vertical velocity is zero, but it also accelerates due to gravity. However, the horizontal motion does not affect the vertical motion, so the ball still falls vertically downwards. The speed of the horizontally projected ball also increases as it falls.
Since both balls are experiencing the same acceleration due to gravity and are falling vertically downwards, the change of speed during their paths will be the same. This means that both balls will experience the same increase in speed as they fall towards the ground.
To determine which statement is correct, we need to analyze the motion of both balls.
When an object is dropped vertically, it accelerates due to gravity, resulting in an increase in velocity. The magnitude of this increase in velocity is the same for all objects, disregarding differences in mass. The velocity gained by a falling object will depend on the height from which it is dropped.
When an object is projected horizontally, it moves with a constant horizontal velocity because there is no force acting on it in the horizontal direction. However, it will still experience the acceleration due to gravity in the vertical direction, causing it to fall downward.
Let's analyze the statements one by one:
A) BOTH HIT GROUND AT SAME VELOCITY:
This statement is incorrect because the ball dropped vertically will have a greater velocity than the ball projected horizontally when they both hit the ground, assuming they are dropped from the same height.
B) BOTH HIT GROUND AT SAME SPEED:
This statement is correct. The speed refers to the magnitude of the velocity, and when both balls hit the ground, they will have the same speed. The ball dropped vertically will have a higher velocity in the vertical direction, but the ball projected horizontally will have a higher velocity in the horizontal direction. The combination of these velocities leads to the same overall speed when they hit the ground.
C) CHANGE OF VELOCITY DURING PATH FOR BOTH BALLS IS SAME:
This statement is incorrect. The ball dropped vertically will experience a constant change of velocity in the vertical direction due to acceleration by gravity. On the other hand, the ball projected horizontally will have no change in velocity in the horizontal direction since there is no force acting on it in that direction. So, the change of velocity during their paths differs.
D) CHANGE OF SPEED DURING PATH FOR BOTH BALLS IS SAME:
This statement is incorrect. As explained earlier, the ball dropped vertically will experience a change in speed due to the acceleration by gravity, resulting in an increase in speed. Meanwhile, the ball projected horizontally will maintain a constant speed in the horizontal direction. Hence, the change in speed for each ball differs.
In conclusion, the correct statement is B) BOTH HIT GROUND AT SAME SPEED.