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Q23
(NDA-II/2016)
Science & Technology › Basic Science (Physics, Chemistry, Biology) › Basic mechanics concepts
Answer Verified
A ball is thrown vertically upward from the ground with a speed of 25-2 m/s. The ball will reach the highest point of its journey in
Result
Your answer:
—
·
Correct:
C
Explanation
The correct answer is Option 3 (2.57 s). This problem is based on the first equation of motion under gravity: v = u + at.
To determine the time taken to reach the highest point, we consider the following parameters:
- Initial velocity (u): 25.2 m/s (given as 25-2 m/s).
- Final velocity (v): 0 m/s (at the highest point, the ball momentarily stops).
- Acceleration (a): -9.8 m/s² (acceleration due to gravity acts downwards, opposing the motion).
Substituting these values into the formula v = u - gt:
0 = 25.2 - (9.8 × t)
9.8t = 25.2
t = 25.2 / 9.8 ≈ 2.5714 s
Rounding to two decimal places gives 2.57 s. Options 1, 2, and 4 are incorrect because they do not satisfy the kinematic relationship between initial velocity and gravitational deceleration.
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