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15. A projectile is fired from the ground at an angle above the horizontal. At the highest point, after having traveled a horizontal distance D and a vertical distance H from its launch point, it suddenly explodes into two identical fragments A and B. As measured relative to the projectile just before it exploded, Fragment A is moving upward with speed u while Fragment B is moving downward with speed u. The maximum height reached by Fragment A above the ground is 2H. Determine the following, and express them in terms of D, H, and g only: A. The launching angle 0 of the projectile, B. The speed u, C. The speed of fragment B just before it hits the ground.

15. A projectile is fired from the ground at an angle above the horizontal. At the highest point, after having traveled a horizontal distance D and a vertical distance H from its launch point, it suddenly explodes into two identical fragments A and B. As measured relative to the projectile just before it exploded, Fragment A is moving upward with speed u while Fragment B is moving downward with speed u. The maximum height reached by Fragment A above the ground is 2H. Determine the following, and express them in terms of D, H, and g only: A. The launching angle 0 of the projectile, B. The speed u, C. The speed of fragment B just before it hits the ground.

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A projectile is fired from the ground at an angle above the horizontal...

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15A. The launch angle of the projectile is 0 = Arctan(2H/D). 15B. The speed of either fragment relative to the original projectile is u = 2gH 15C. The speed of Fragment B just before it hits the ground is g(D² + 4H2), 2H VB %3D
Transcribed Image Text:15A. The launch angle of the projectile is 0 = Arctan(2H/D). 15B. The speed of either fragment relative to the original projectile is u = 2gH 15C. The speed of Fragment B just before it hits the ground is g(D² + 4H2), 2H VB %3D
15. A projectile is fired from the ground at an angle above the horizontal. At the highest point, after having traveled a horizontal distance D and a vertical distance H from its launch point, it suddenly explodes into two identical fragments A and B. As measured relative to the projectile just before it exploded, Fragment A is moving upward with speed u while Fragment B is moving downward with speed u. The maximum height reached by Fragment A above the ground is 2H. Determine the following, and express them in terms of D, H, and g only: A. The launching angle 0 of the projectile, B. The speed u, C. The speed of fragment B just before it hits the ground.
Transcribed Image Text:15. A projectile is fired from the ground at an angle above the horizontal. At the highest point, after having traveled a horizontal distance D and a vertical distance H from its launch point, it suddenly explodes into two identical fragments A and B. As measured relative to the projectile just before it exploded, Fragment A is moving upward with speed u while Fragment B is moving downward with speed u. The maximum height reached by Fragment A above the ground is 2H. Determine the following, and express them in terms of D, H, and g only: A. The launching angle 0 of the projectile, B. The speed u, C. The speed of fragment B just before it hits the ground.
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