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A stone is projected vertically upwards ...

A stone is projected vertically upwards `y=0` second. The net displacement of stone is zero in time interval between `t=0` second to `t=T` seconds. Pick up the correct statement

A

From time `t= T //4` second to `t=3T//4` second, the average velocity is zero.

B

The change in velocity from time t=0 to `t =T //4` second is same as change in velocity from `t = T //8` second to `t = 3T //8` second.

C

The distance travelled from t=0 to `t = T //4` second is larger than the distance travelled from `t = T //4` second to `t= 3T //4` second.

D

The distance traveled from `t = T //2` second to `t= 3T //2` second second is half the distance traveled from `t = T //2` second to `t= T` second.

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • A particle is projected vertically upward and is at a height h after t_(1) seconds and again after t_(2) seconds

    A
    `h="gt"_(1)t_(2)`
    B
    `h=(1)/(2)"gt"_(1)t_(2)`
    C
    `h=(2)/(g)t_(1)t_(2)`
    D
    `h=sqrt("gt"_(1)t_(2))`
  • A stone is projected vertically upwards. Its height h at time t sec is h=(80)t-(16)t^(2) . The velocity with which it hits the ground is

    A
    80 units/ sec
    B
    60 units /sec
    C
    16 units /sec
    D
    32 units / sec
  • Two stones are thrown vertically upwards simultaneously from the same point on the ground with initial speed u_(1) = 30 m//sec and u_(2) = 50 m//sec . Which of the curve represent correct variation (for the time interval in which both reach the ground) of (x_(2) - x_(1)) = the relative position of second stone with respect to first with time (t) (v_(2) - v_(1)) = the relative velocity of second stone with respect to first with time (t). Assuming that stones do not rebound after hitting.

    A
    B
    C
    D
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