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Assertion In projectile motion, if time ...

Assertion In projectile motion, if time of flight is made two times, then maximum height will become four times.
Reason `T prop sin theta` and `H prop sin^(2) theta`, where `theta` is angle of projection.

A

If both Asseration and Reason are correct and Reason is the correct explanation of Assertion

B

If both Assertion and Reason are correct but Reason is not the correct explanation of Assertion

C

If Assertion is true but Reason is false

D

If Assertion is false but Reason is true

Text Solution

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The correct Answer is:
A
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Assertion In projectile motion, if time of flight is 4s, then maximum height will be 20 m. (Take, g = 10 ms^(-2)) Reason Maximum height = (gT)/(2) .

Assertion : If time of flight in a projectile motion is made two times, its maximum height will become four times. Reason : In projectile motion H prop T^2 , where H is maximum height and T the time of flight.

Knowledge Check

  • The relation between the time of flight of projectile T_(f) and the time to reach the maximum height t_(m) is

    A
    `T_(f) = 2t_(m)`
    B
    `T_(f) = t_(m)`
    C
    `T_(f) = (t_(m))/(2)`
    D
    `T_(f) = sqrt(2)(t_(m))`

  • The horizontal range of projectile is 4sqrt(3) times the maximum height achieved by it, then the angle of projection is

    A
    `30^(@)`
    B
    `45^(@)`
    C
    `60^(@)`
    D
    `90^(@)`

  • What is the relationship between time of flight T and horizontal range R? (where theta is angle of projection with the horizontal)

    A
    `R=(gT)/(tantheta)`
    B
    `R=(gT^2)/(2tantheta)`
    C
    `R=(gT^2)/(tantheta)`
    D
    `R=(gT)/(2 tan theta)`

    • Similar Questions

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    Find the angle of projection for a projectile motion whose rang R is (n) times the maximum height H .

    Assertion: In projectile motion, when horizontal range is n times the maximum height, the angle of projection is given by tan theta=(4)/(n) Reason: In the case of horizontal projection the vertical increases with time.

    Assertion : Range of projectile of projection of a body is made n times . Its time of fights becomes n times . Reason Range of jprojectile does not depend on the initial velocity of a body .

    If T is the total time of flight, h is the maximum height and R is the range for horizontal motion, the x and y coordinates of projectile motion and time t are related as

    A projectile has a time of flight T and range R . If the time of flight is doubled, keeping the angle of projection same, what happens to the range ?

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