A number of bullets are fired horizontally with different velocities from the top of a tower they reach the ground
- at same time with same velocity
- at different times with different velocities
- at same time with different velocities
- at different times with same velocity
The Correct Option is C
Approach Solution - 1
Approach Solution -2
When bullets are fired horizontally from a tower, they all take the same amount of time to fall to the ground because gravity pulls them down equally fast, regardless of their initial horizontal speeds. This means they reach the ground at the same time. However, each bullet travels horizontally at its initial speed, so they end up hitting the ground with different horizontal velocities. Therefore, they all arrive at the ground simultaneously but at different speeds across the ground.
So, the correct option is (C): at same time with different velocities.
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Concepts Used:
Motion in a Plane
It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions.
Equations of Plane Motion
The equations of motion in a straight line are:
v=u+at
s=ut+½ at2
v2-u2=2as
Where,
- v = final velocity of the particle
- u = initial velocity of the particle
- s = displacement of the particle
- a = acceleration of the particle
- t = the time interval in which the particle is in consideration