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Ramsing Pal Grade: 12
        The benches of a gallery of a cricket stadium are 1m high and 1m wide.A batsman strikes the ball at a level 1m above the ground and hits a mammoth sixer.The ball starts at 35 m/s at an angle of 53 degrees with the horizontal.The benches are perpendicular to the plane of motion and the first bench is 110m from the batsman.On which bench will the ball hit?          
7 years ago

Answers : (3)

Ramesh V
70 Points
										

Range of projectile = u2.sin 2x /g


                            = 117.75 mts


so on the ground ,it covers 110 mts and the left distance of 7.75 mts is on gallary


each bench hz. length is 1 mts


so it lands on 8th bench


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7 years ago
rrrrrr ssss
18 Points
										

The answer to this is 6th bench.


y=(n-1)1 (because there is a 1m uplevel).


x= 110 + (n-1)


x= 110+ y


Put it in the equation of trajectory = 


y = xtanA - gx^2sec^2A/2u^2


where x=110+y


sec62a = 25/9 and u = 35m/s


you will get y =5


put it in y=n-1


we will get n=6

4 years ago
shreyash kawalkar
18 Points
										

range= (2* u  sinA * u sinB)/g


u sinA= 35 * 4/5= 28


u sinB= 35* 3/5= 21


g=10 m/s2 


range= 2*28*21/10


=42*28/10


=112.6


1st bench 110 to 111


2nd bench 111 to 112


3rd bench 112 to 113


hence, 3rd bench.

4 years ago
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