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A soccer ball is kicked from the ground ...

A soccer ball is kicked from the ground with an initial speed of 21.3 m/s at an upward angle of `45^(@)`. A player 55 m away in the direction of the kick starts running to meet the ball at that instant. What must be his average speed if he is to meet the ball just before it hits the ground?

Text Solution

AI Generated Solution

To solve the problem, we will follow these steps: ### Step 1: Calculate the Range of the Soccer Ball The range \( R \) of a projectile launched at an angle \( \theta \) with an initial speed \( u \) is given by the formula: \[ R = \frac{u^2 \sin(2\theta)}{g} \] Where: ...
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Knowledge Check

  • A player kicks a ball at a speed of 20ms^(-1) so that its horizontal range is maximum. Another players 24m away in the direction of kick starts running in the same direction at the same instant of hit. If he has to catch the ball just before it reaches the ground, he should run with a velocity equl to (take g=10ms^(-2))

    A
    `2sqrt(2)ms^(-1)`
    B
    `4sqrt(2)ms^(-1)`
    C
    `6sqrt(2)ms^(-1)`
    D
    `10sqrt(2)ms^(-1)`

  • A player kicks a football obliquely at a speed of 20 m//s so that its range is maximum. Another player at a distance of 24m away in the direction of kick starts running at that instant to catch it, the speed with which the second player has to run is (g=10 ms^(-2))

    A
    `4 m//s`
    B
    `4sqrt2 m//s`
    C
    `8sqrt2 m//s`
    D
    `8 m//s`

  • A baseball is hit into the air at an initial speed of 36.6 m/s and an angle of 50.0^(@) above the horizontal. At the same time, the center fielder starts running away from the batter, and he catches the ball 0.914 m above the level at which it was hit. If the center fielder is initially 1.10xx10^(2)m from home plate, what must be his average speed?

    A
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    B
    5.0 m/s
    C
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    D
    6.9 m/s

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