Home
Class 11
PHYSICS
Two particles were projected one by one ...

Two particles were projected one by one with the same initial velocity from the same point on level ground. They follow the same parabolic trajectory and are found to be in the same horizontal level, separated by a distance of `1 m, 2 s` after the second partice was projected. Assume that the horizontal component of their velocities is `0.5 ms^-1`. Find
(a) the horizontal range of the parabolic path.
(b) the maximum height for the parabolic path.

Text Solution

Verified by Experts

The correct Answer is:
`3m ; 45 m`
Distance travelled by `2nd`
Particle in `2 s = 0.5 xx 2 = 1m`
Horizontal range `= 1 + 1 + 1 = 3 m`
Flight time `= 4 + 2 = 6 s`
`6 = (2 u sin theta)/(g) u sin theta = 30`
`H = (u^2 sin^2 theta)/(2 g) = (900)/( 2 xx 10) = 45`
Particle will strike the ground after `2 s`.
.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • KINEMATICS-2

    CENGAGE PHYSICS|Exercise Exercise Single Correct|76 Videos

  • KINEMATICS-2

    CENGAGE PHYSICS|Exercise Exercise Multiple Correct|11 Videos

  • KINEMATICS-2

    CENGAGE PHYSICS|Exercise Exercise 5.4|11 Videos

  • KINEMATICS-1

    CENGAGE PHYSICS|Exercise Integer|9 Videos

  • KINETIC THEORY OF GASES

    CENGAGE PHYSICS|Exercise Compression|2 Videos

Similar Questions

Explore conceptually related problems

Show that there are two angles of projection for which the horizontal range is the same.

Two particles are projected with same velocity but at angles of projection 35 and 55 then their horizontal ranges are in the ratio of

Knowledge Check

  • Two particle are projected with same initial velocities at an angle 30^(@) and 60^(@) with the horizontal .Then

    A
    their heights will be equal
    B
    their height will be different
    C
    their range of flight will be equal
    D
    their ranges will be different

  • Two particles are projected from the same point with the same speed at different angles theta_1 & theta_2 to the horizontal. They have the same range. Their times of flight are t_1 & t_2 respectily

    A
    `(t_1)/(t_2)=tan^2theta_1`
    B
    `(t_1)/(sintheta_1)=(t_2)/(costheta_2)`
    C
    `(t_1)/(t_2)=tantheta_1`
    D
    `(t_1)/(t_2)=tan^2theta_2`

  • Two particles P & Q are projected simultaneously from a point O on a level ground in the same vertical plane with the same speed in directions making angle of 30^(@) and 60^(@) respectively with the horizontal.

    A
    Both reach the ground simultaneously
    B
    P reaches the ground earlier than Q
    C
    Both strike the same point on the level ground
    D
    The maximum height attained by Q is thrice that attained by P

    • Similar Questions

    Explore conceptually related problems

    " Two particles are projected with same velocity but at angles of projection 35^(@) and 55^(@) .Then their horizontal ranges are in the ratio

    Two bodies are projected at angle of 45^@ and 60^@ with the horizontal with same velocity simultaneously. Ratio of their horizontal range is.

    Two bodies are projected vertically upwards from one point with the same initial velocity v_0. The second body is projected t_0 s after the first. How long after will the bodies meet?

    Two particles are thrown with same initial speed from the same point with angles of projection 42^0 and 48^0 . Find relation between ranges and heights.

    A particle is projected from ground with some initial velocity making an angle of 45^(@) with the horizontal. It reaches a height of 7.5 m above the ground while it travels a horizontal distance of 10 m from the point of projection. The initial speed of the projection is

    Home
    Profile