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Two stones are projected simultaneously with same speed 10m/s from same point . The range of both is equal to 5√3 m. Find the difference in their time of flight .?
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Problem Statement:

Two stones are projected simultaneously with same speed 10m/s from same point . The range of both is equal to 5√3 m. Find the difference in their time of flight.


Solution:

Let's consider two stones A and B.


  • Initial velocity of stone A and B = 10m/s

  • Range of both stones = 5√3 m



Formula Used:

Range = (Initial Velocity)^2 * sin(2*theta) / g

Time of Flight = 2 * (Initial Velocity) * sin(theta) / g


Calculation:

From the given data, we can calculate the angle of projection (theta) and the time of flight for both stones:



  • For stone A:


    • Range = 5√3 m

    • Initial velocity = 10m/s

    • Using the formula, sin(2*theta) = Range * g / (Initial Velocity)^2

    • sin(2*theta) = (5√3 * 9.8) / (10)^2

    • sin(2*theta) = 0.235

    • 2*theta = sin^-1(0.235)

    • theta = sin^-1(0.235) / 2

    • theta = 8.68°

    • Using the formula, Time of Flight = 2 * (Initial Velocity) * sin(theta) / g

    • Time of Flight = 2 * 10 * sin(8.68°) / 9.8

    • Time of Flight = 1.16s



  • For stone B:


    • Range = 5√3 m

    • Initial velocity = 10m/s

    • Using the formula, sin(2*theta) = Range * g / (Initial Velocity)^2

    • sin(2*theta) = (5√3 * 9.8) / (10)^2

    • sin(2*theta) = 0.235

    • 2*theta = sin^-1(0.235)

    • theta = sin^-1(0.235) / 2

    • theta = 8.68°

    • Using the formula, Time of Flight = 2 * (Initial Velocity) * sin(theta) / g

    • Time of Flight = 2 * 10 * sin(8.68°) / 9.8

    • Time of Flight = 1.16s

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Two stones are projected simultaneously with same speed 10m/s from same point . The range of both is equal to 5√3 m. Find the difference in their time of flight .?
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Two stones are projected simultaneously with same speed 10m/s from same point . The range of both is equal to 5√3 m. Find the difference in their time of flight .? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two stones are projected simultaneously with same speed 10m/s from same point . The range of both is equal to 5√3 m. Find the difference in their time of flight .? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two stones are projected simultaneously with same speed 10m/s from same point . The range of both is equal to 5√3 m. Find the difference in their time of flight .?.
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