Home
Class 11
PHYSICS
In the cricket game, a batsman strikes t...

In the cricket game, a batsman strikes the ball such that it moves with the speed `30ms^(-1)` at an angle `30^(@)` with the horizontal as shown in the figure. The boundary line of the cricket ground is located at a distance of 75 m from the batsman? Will the ball go for a six? (Neglect the air resistance and take acceleration due to gravity `g=10ms^(-2)`.

Text Solution

Verified by Experts

The motion of the cricket ball in air is essentially a projectile motion. As we have already seen, the range (horizontal distance) of the projectile motion is given by
`R=(u^(2)sin2theta)/(g)`
The initial speed `u=30ms^(-1)`
The projection angle `theta=30^(@)`
The horizontal distance travelled by the cricket ball
`R=((30)^(2)xxsin60^(@))/(10)=(900xx(sqrt3)/(2))/(10)=77.94m`
This distance is greater than the distance of the boundary line. Hence the ball will cross this line and go for a six.
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    FULL MARKS|Exercise TEXTUAL QUESTIONS SOLVED (MULTIPLE CHOICE QUESTIONS:)|30 Videos

  • KINEMATICS

    FULL MARKS|Exercise TEXTUAL QUESTIONS SOLVED (SHORT ANSWER QUESTIONS)|30 Videos

  • HEAT AND THERMODYNAMICS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (Numerical Problems)|16 Videos

  • KINETIC THEORY OF GASES

    FULL MARKS|Exercise Addtional Numerical Problems|10 Videos

Similar Questions

Explore conceptually related problems

A foot - ball player hits tha ball with speed 20ms^(-1) with angle 30^(@) with respect to horizontal direction as shown in the figure. The goal post is at distance of 40 m from him. Find out whether ball reaches the goal post

A foot - ball player hits tha ball with speed 20ms^(-1) with angle 30^(@) with respect to horizontal direction as shown in the figure. The goal post is at distance of 40 m from him. Find out whether ball reaches the goal post

A ball is thrown from a field with a speed of 12.0 m/s at an angle of 45^0 with the horizontal. At what distance will it hit the field again ? Take g=10.0 m/s^2

Suppose an object is thrown with initial speed of 10 ms^(-1) at an angle pi//4 with the horizontal, what is the range-covered? Suppose the same object is thrown similarly in the moon, will there be any change in the range? If yes, what is the change? (The acceleration due to gravity in the moon g_("moon")=1//6 g )

A football ils kicked with a velocity of 20 m/s at an angle of 45^0 wilth the horizontal. A. Find the time taken by the ball to strike the ground. b.Find the maximum height it reaches. C. How far away from the kick dows it hit the ground? Take g=10 m/s^2 .

An object of mass 2 kg falls from a height of 5 m to the ground. What is the work done by the gravitational force on the object? (Neglect air resistance, Take g = 10 ms^(-2) ).

A projectile is fired from the surface of the earth with a velocity of 5ms^(-1) and angle theta with the horizontal. Another projectile fired from another planet with a with a velocity of 3 ms^(-1) at the same angle follows a trajectory of the projectile fired from the earth . The value of the acceleration due to gravity on planet is ( in ms^(-2) is (given g=9.8 ms^(-2) .

An object of mass m=1 kg is sliding from top to bottom in the frictionless inclined plane of inclination angle theta = 30^(@) and the length of inclined plane is 10m as shown in the figure. Calculate the work done by gravitational force and normal force on the object Assume acceleration due to gravity, g=10ms^(-2)

The benches of a gallery in a cricket stadium are 1 m wide and 1 m high. A batsman strikes the ball at a level one meter above the ground and hits a mammoth sixer. The ball starts at 35 m/s at an angle of 53^0 with the horizontal. The benches are perpendicular to the plane of motion and the first bench is 110 m from the batsman. On which bench will the ball hit?