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A projectile is projected on the level ground at an angle of 30 degrees with an initial speed of 400 m/s. At one point during its tragectory the projectile explodes into two pieces. The two pieces reach the ground at the same moment; one of them hits the ground at exactly where it was projected with a speed of 250 m/s. At what height did the explosion occur ? (Air drag and the mass of the explosive material is negligible, the acceleration due to gravity can be considered as 10 m/s^2.)?
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A projectile is projected on the level ground at an angle of 30 degree...
Analysis:
- Initial velocity (u) = 400 m/s
- Launch angle (θ) = 30 degrees
- Final velocity of one piece (v1) = 250 m/s
- Acceleration due to gravity (g) = 10 m/s^2

Step 1: Find horizontal and vertical components of initial velocity:
- Horizontal component (ux) = u * cos(θ)
- Vertical component (uy) = u * sin(θ)

Step 2: Find time of flight for the whole trajectory:
- Time of flight (T) = 2 * uy / g

Step 3: Find the height of explosion using vertical motion equation:
- v1y = uy - g * t
- t = T/2
- v1y = 0 (at highest point)
- 0 = uy - g * T/2
- Height of explosion (h) = uy * T/2 - (1/2) * g * (T/2)^2

Step 4: Calculate the height of explosion:
- Substitute values to find h
- h = (400 * sin(30) * 400 / 2) - (1/2) * 10 * (400 / 2)^2
- h = (200 * 400 / 2) - 10000
- h = 40000 - 10000
- h = 30000 meters
Therefore, the explosion occurred at a height of 30,000 meters.
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A projectile is projected on the level ground at an angle of 30 degrees with an initial speed of 400 m/s. At one point during its tragectory the projectile explodes into two pieces. The two pieces reach the ground at the same moment; one of them hits the ground at exactly where it was projected with a speed of 250 m/s. At what height did the explosion occur ? (Air drag and the mass of the explosive material is negligible, the acceleration due to gravity can be considered as 10 m/s^2.)?
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A projectile is projected on the level ground at an angle of 30 degrees with an initial speed of 400 m/s. At one point during its tragectory the projectile explodes into two pieces. The two pieces reach the ground at the same moment; one of them hits the ground at exactly where it was projected with a speed of 250 m/s. At what height did the explosion occur ? (Air drag and the mass of the explosive material is negligible, the acceleration due to gravity can be considered as 10 m/s^2.)? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A projectile is projected on the level ground at an angle of 30 degrees with an initial speed of 400 m/s. At one point during its tragectory the projectile explodes into two pieces. The two pieces reach the ground at the same moment; one of them hits the ground at exactly where it was projected with a speed of 250 m/s. At what height did the explosion occur ? (Air drag and the mass of the explosive material is negligible, the acceleration due to gravity can be considered as 10 m/s^2.)? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A projectile is projected on the level ground at an angle of 30 degrees with an initial speed of 400 m/s. At one point during its tragectory the projectile explodes into two pieces. The two pieces reach the ground at the same moment; one of them hits the ground at exactly where it was projected with a speed of 250 m/s. At what height did the explosion occur ? (Air drag and the mass of the explosive material is negligible, the acceleration due to gravity can be considered as 10 m/s^2.)?.
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