Published by:
CGP EDU Academic Team
Published on: September 12, 2026
Three particles A, B and C are thrown from the top of a tower with the same speed. A is thrown up, B is thrown down and C is horizontally. They hit the ground with speeds V_{A}, V_{S} and \(\mathbf{v}_{c}\) respectively.
Text Solution
Verified by ExpertsThe correct answer is:
D
Step 1: Analyze the motion of the three particles:
- Particle A is thrown upwards, it will first decelerate due to gravity, stop at its highest point, and then accelerate downwards. It will hit the ground with a lower speed than it was initially thrown with due to the upward motion followed by fall.
- Particle B is thrown downwards; it will accelerate downwards throughout and hit the ground with the highest speed.
- Particle C is thrown horizontally; it will experience vertical acceleration due to gravity but its horizontal speed remains constant, resulting in a speed lower than B but higher than A when it impacts the ground.
Step 2: Using conservation of energy and kinematics, we can analyze the final speeds:
- Let the initial speed of each particle be \( v \). Particle B would have the maximum speed at impact, followed by C, and then A having the least.
Hence, the correct order of speeds at ground impact is: \( V_B > V_C > V_A \), confirming option D is correct.
- Particle A is thrown upwards, it will first decelerate due to gravity, stop at its highest point, and then accelerate downwards. It will hit the ground with a lower speed than it was initially thrown with due to the upward motion followed by fall.
- Particle B is thrown downwards; it will accelerate downwards throughout and hit the ground with the highest speed.
- Particle C is thrown horizontally; it will experience vertical acceleration due to gravity but its horizontal speed remains constant, resulting in a speed lower than B but higher than A when it impacts the ground.
Step 2: Using conservation of energy and kinematics, we can analyze the final speeds:
- Let the initial speed of each particle be \( v \). Particle B would have the maximum speed at impact, followed by C, and then A having the least.
Hence, the correct order of speeds at ground impact is: \( V_B > V_C > V_A \), confirming option D is correct.
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