Home
Class 11
PHYSICS
A stone is to be thrown so as to cover a...

A stone is to be thrown so as to cover a horizontal distance of 3m. If the velocity of the projectile is 7m/s, find:
(a) The angle at which is must be thrown.
(b) The largest horizontal displacement that is possibel with the projection speed of 7 m./s.

Text Solution

Verified by Experts

(a) Range R = `(u^(2))/( g ) sin 2 theta `
`rArr sin 2 theta = (gR)/(u^(2)) = (9.8xx 3)/((7)^(2)) = 0.6 = sin 37^(@) rArr 2 theta = 37^(@) rArr theta = 18.5^(@)`
angle of projection may also be `= 90^(@) - theta = 90^(@) - 18.5^(@) = 71.5^(@)`
(b) For largest horizontal displacement `theta = 45^(@)` maximum range `R_(max.) = (u^(2))/(g) = ((7)^(2))/(9.8) = (49)/(98) xx 10 = 5` m.
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN |Exercise BEGINNER S BOX-1|6 Videos

  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN |Exercise BEGINNER S BOX-2|7 Videos

  • KINEMATICS

    ALLEN |Exercise EXERCISE-2|89 Videos

  • MISCELLANEOUS

    ALLEN |Exercise Question|1 Videos

Similar Questions

Explore conceptually related problems

A stone is to be thrown so as to cover a horizontal distance f 3m. If the velocity of the projectile is 7 m/s, find : (a) the angle at which is must be thrown. (b) the largest horizontal displacement that is possible speed of 7 m/s.

The angle of which the velocity vector of a projectile thrown with a velocity u at an angle theta to the horizontal will take with the horizontal after time t of its being thrown up is

Two balls A and B are thrown with speeds u and u//2 , respectively. Both the balls cover the same horizontal distance before returning to the plane of projection. If the angle of projection of ball B is 15^@ with the horizontal, then the angle of projection of A is.

A body of mass m is projected with intial speed u at an angle theta with the horizontal. The change in momentum of body after time t is :-

a projectile is thrown with speed u into air from a point on the horizontal ground at an angle theta with horizontal. If the air exerts a constant horizontal resistive force on the projectill then select correct alternative(s).

Two projectiles of same mass and with same velocity are thrown at an angle 60^(@) and 30^(@) with the horizontal, then which quantity will remain same:-

The velocity of a projectile at the initial point A is (2hati+3hatj) m//s . Its velocity (in m/s) at point B is

A body is thrown with some velocity from the ground. Maximum height when it is thrown at 60^(@) to horizontal is 90m. What is the height reached when it is thrown at 30^(@) to the horizontal:-

A projectile is thrown from a point in a horizontal plane such that the horizontal and vertical velocities are 9.8 ms^(-1) and 19.6 ms^(-1) . It will strike the plane after covering distance of