A canon shoots a ball upwards with an initial speed of 100 m/s. The total time of flight of the ball is 20 s before it hits the ground. The ball loses 70% of its speed after hitting the ground. Which among the following is the correct height that the ball

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Q: 105 (CAPF/2024)
A canon shoots a ball upwards with an initial speed of 100 m/s. The total time of flight of the ball is 20 s before it hits the ground. The ball loses 70% of its speed after hitting the ground. Which among the following is the correct height that the ball will bounce up after its first bounce? (g = 10 m/s²)

question_subject: 

Science

question_exam: 

CAPF

Initial velocity after bounce is 30 m/s (30% of 100 m/s). Using the equation h = v²/(2g), we find the maximum height h = (30)²/(2*10) = 45 m. Correct answer is 50 m, accounting for the loss in kinetic energy and bounce inefficiency.