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A particular projected with velocity 6i^+5j^+8k^ metre per second from a vertical Tower of height 10 m if the x axis is vertical find the time of flight?
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A particular projected with velocity 6i^+5j^+8k^ metre per second from...
Time of Flight Calculation for a Projected Object
- Given Data:
- Initial velocity: 6i^ + 5j^ + 8k^ m/s
- Tower height: 10 m
- Finding Time of Flight:
- Step 1: Decompose Initial Velocity
- The initial velocity of the object can be decomposed into its x, y, and z components:
- Vx = 6 m/s
- Vy = 5 m/s
- Vz = 8 m/s
- Step 2: Calculate Time to Reach the Top of the Tower
- To calculate the time taken by the object to reach the top of the tower, we can use the formula:
- t = h / Vy
- t = 10 m / 5 m/s
- t = 2 seconds
- Step 3: Calculate Time of Flight
- The total time of flight can be calculated using the formula:
- Total time = 2t
- Total time = 2 * 2 seconds
- Total time = 4 seconds
- Final Answer:
- The time of flight for the projected object is 4 seconds.
By following the above steps, you can easily calculate the time of flight for a projected object launched from a vertical tower.
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A particular projected with velocity 6i^+5j^+8k^ metre per second from a vertical Tower of height 10 m if the x axis is vertical find the time of flight?
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