Home
Class 11
PHYSICS
A football is kicked at an angle of 30^(...

A football is kicked at an angle of `30^(@)` with the vertical, so if the horizontal component of its velocity is `20 ms^(-1)`, determine its maximum height.

Text Solution

Verified by Experts

Given, `theta = 30^(@)`
Horizontal component of velocity `= u sin 30^(@) = 20 ms^(-1)`
`u = (20)/(sin 30^(@)) = (20)/(1//2) = 40 ms^(-1)`
Therefore, maximum height,
`H = (u^(2) cos^(2) 30^(@))/(2g) = ((40)^(2))/(2 xx 9.8) xx ((sqrt(3))/(2))^(2) = 61.22 m`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MOTION

    DC PANDEY|Exercise Check Point 4.1|15 Videos

  • MOTION

    DC PANDEY|Exercise Check Point 4.2|20 Videos

  • MEASUREMENT AND ERRORS

    DC PANDEY|Exercise Subjective|19 Videos

  • MOTION IN A PLANE

    DC PANDEY|Exercise (C )Medical entrances gallery|32 Videos

Similar Questions

Explore conceptually related problems

A ball is kicked at an angle of 30^(@) with the vertical. If the horizontal component of its velocity is 19.6 ms^(-1) , find the maximum height and horizontal range.

A ball is kiched at an angle 30^(@) with the verical. If the horizontal componet of its velocity is 20 ms^(-1) , find the maximum hight and hrizontal range. Use = 10 ms^(-2) .

Knowledge Check

  • Assume that a ball is kicked at an angle of 60^(@) with the horizontal, so if the horizontal component of its velocity is 19.6 ms^(-1) , determine its maximum height.

    A
    `58.8 m`
    B
    `40 m`
    C
    `120 m`
    D
    `60 m`

  • The velocity of a body is 20 m/s making an angle of 30^(@) with the horizontal, the vertical component of velocity is

    A
    20m/s
    B
    17.32m/s
    C
    10m/s
    D
    7m/s

  • A bu llet is fired with a velocity u making an angle of 60^(@) with the horizontal plane. The horizontal component of the velocity of the bu llet when it reaches the maximum height is:

    A
    `u `
    B
    0
    C
    `(sqrt(3)u)/(2)`
    D
    `u//2`

    • Similar Questions

    Explore conceptually related problems

    A stone is projected at an angle of 30^(@) with the vertical. If the horizontal component of its velocity is 9.8m//s , calculate the maximum height attained by the stone and its horizontal range .

    A boy throws a ball at an angle theta with the vertical. If the vertical component of the initial velocity is 20ms^(-1) and the wind imparts a horizontal acceleration of 8ms^(-2) to the left, the angle at which the ball must be thrown so that the ball returns to the boy's hand is theta . What is the value of 10(tan theta)

    A projectile is fired at an angle of 30^(@) to the horizontal such that the vertical component of its initial velocity is 80m//s . Its time of fight is T . Its velocity at t=T//4 has a magnitude of nearly.

    A projectile is fired at an angle of 30^(@) to the horizontal such that the vertical component of its initial velocity is 80 m//s . Its time of flight is T. Its velocity at the moment t =T//4 , has a magnitude of nearly

    A projectile is fired at an angle of 30^(@) with the horizontal such that the vertical component of its initial velocity is 80m/s. Find approximatly the velocity of the projectile at time T//4 where T is time of flight.

    Home
    Profile