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A body is thrown horizontally with a velocity √2gh from the top of a tower of height h. It strikes the level ground through the foot of the tower at a distance x from the tower. The value of x is

a. h
b. h/2
c. 2h
d. 2h/3

1 Answer

5 votes

Final answer:

The value of x in this scenario is 2h/3.

Therefore correct answer is option d 2h/3.

Step-by-step explanation:

The value of x in this scenario is 2h/3.

When a body is thrown horizontally with a velocity of √2gh from the top of a tower of height h and strikes the ground at a distance x from the tower, the relationship between x and h can be determined using projectile motion equations.

In this case, the time taken for the body to fall vertically from the top of the tower to the ground is t-1 seconds, where t is the total time of flight. Given that it drops 2/3h in t-1 seconds, we can calculate x as 2h/3.

User Daveeloo
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