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Choose the correct option (i) The spee...

Choose the correct option
(i) The speed of a projectile at its maximum height is half of its initial speed. The angle of projection is `60^(@)`.
(ii) A missile is fired for maximum range with an initial velocity of `20 m//s`, the range of the missile is `40 m`.
(iii) A ball is projected with a kinetic energy `E` at an angle of `45^(@)` to the horizontal. At the highest point during its flight, its kinetic energy will be `E//2`.
(iv) An object is projected at an angle of `45^(@)` with horizontal. The horizontal range and the maximum height will be in the ratio `4:1`

A

(i), (ii)

B

(ii), (iii)

C

(i), (iv)

D

all option are correct

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • A missile is fired for maximum range with an initial velocity of 20m//s . If g=10m//s^(2) , the range of the missile is

    A
    `50m`
    B
    `60m`
    C
    `20m`
    D
    `40m`

  • A ball whose kinetic energy is E , is projected at an angle of 45^@ to the horizontal . The kinetic energy of the ball at the highest point of its flight will be

    A
    `E`
    B
    `(E)/sqrt(2)`
    C
    `(E)/(2)`
    D
    `zero`

  • The kinetic energy of a projectile at the highest point is half of the initial kinetic energy. The angle of projection with the horizontal is

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

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