UP TGT Mathematics Dynamics Test Series - Part 5

If a projectile is fired from the top of a cliff of height h with speed u horizontally, the velocity v with which it hit...

Type: MCQ • Marks: 1
If a projectile is fired from the top of a cliff of height h with speed u horizontally, the velocity v with which it hits the ground is:
Options
A. u + √(2gh)
B. √(u² + 2gh)
C. 2gh
D. √(u² - 2gh)
Explanation
By conservation of energy: (1/2)m v² = (1/2)m u² + mgh ⇒ v² = u² + 2gh ⇒ v = √(u² + 2gh).
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