Question

A ball bowled by the bowler Anil Kumble on a 21 long pitch takes 3/7 the sec.to cover the pitch. Find the speed of the ball.
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Answer 1

Answer:

169 km/hr or 47 metre/sec

Step-by-step explanation:

Solution without considering the height of bowler:

Given: length (L) = 21 metre

time taken (t) = 3/7 seconds.

to find: speed (s) = ?

solution: formula is given by,

speed = distance/time

= 21 metre/ (3/7) = 7×21/3 = 46.667 m/sec

thus,

speed ~ 47 meter/ sec

to convert it to kmph

we use the relation between km and metre

thus,

speed (kmph) =

47m/s × 1km/1000m × 3600sec/1hr

Now

considering the height of the bowler:

Anil kumble's height is approximately 1.7 meter. the ball is thrown from his hand and touches the pitch on the other end. The ball is thrown approximately from a height of 1.8 meters perpendicular from the ground.

creating a right angle triangle with perpendicular sides of length 1.8m and 21m respectively. Then using the pythagoras method to find the length of third side we get

the total distance cover by ball is the length of third side,

using pythagoras theorem,

1.8^2 + 21^2 = (length of third side)^2

simplify the above expression and we get

the length of third side to be 20.077 m

which I almost the same as the previous case.

and the answer about be the same as 169kmph with slight decimal variations.

Answer 2

169 km/hr or 47 metre/sec

Step-by-step explanation:

Solution without considering the height of bowler:

Given: length (L) = 21 metre

time taken (t) = 3/7 seconds.

to find: speed (s) = ?

solution: formula is given by,

speed = distance/time

= 21 metre/ (3/7) = 7×21/3 = 46.667 m/sec

thus,

speed ~ 47 meter/ sec

to convert it to kmph

we use the relation between km and metre

thus,

speed (kmph) =

47m/s × 1km/1000m × 3600sec/1hr

Now

considering the height of the bowler:

Anil kumble's height is approximately 1.7 meter. the ball is thrown from his hand and touches the pitch on the other end. The ball is thrown approximately from a height of 1.8 meters perpendicular from the ground.

creating a right angle triangle with perpendicular sides of length 1.8m and 21m respectively. Then using the pythagoras method to find the length of third side we get

the total distance cover by ball is the length of third side,

using pythagoras theorem,

1.8^2 + 21^2 = (length of third side)^2

simplify the above expression and we get

the length of third side to be 20.077 m

which I almost the same as the previous case.

and the answer about be the same as 169kmph with slight decimal variations.