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M2 doubt!!!!!

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spiderman:
Hey guys..............cud ull pls help me wit these sums on projectiles????

1) The equation of the path of a projectile is y=0.5x-0.02x^2. Determine the initial speed of the projectile?

2) A tennis player strikes the ball at a height of 0.5m. It passes above her opponent 10m away at a height of 4m, and lands 20m from the first player, who has not moved since striking the ball. Calculate the angle of projection of the ball??

cooldude:

--- Quote from: spiderman on July 11, 2010, 06:46:19 am ---Hey guys..............cud ull pls help me wit these sums on projectiles????

1) The equation of the path of a projectile is y=0.5x-0.02x^2. Determine the initial speed of the projectile?

2) A tennis player strikes the ball at a height of 0.5m. It passes above her opponent 10m away at a height of 4m, and lands 20m from the first player, who has not moved since striking the ball. Calculate the angle of projection of the ball??

--- End quote ---

1) let theta=a
y=xtana-(gx^2/2u^2 (cosa)^2))
tana=0.5 and 0.02=10/(2u^2 (cosa)^2))
from the first equation a=26.6
and substituting a in the second equation we get u= 17.7 m/s

2) substitute all the variables each time in pairs of three in the equation of a trajectory as follows-->
again theta=a
0.5=-(10x^2/2u^2 (cosa)^2))
0=20tana-(10(20^2)/2u^2 (cosa)^2))
4=10tana-(10(10^2)/2u^2 (cosa)^2))
solve them ull get ur ans




Meticulous:
Thanks cooldude! +rep!

spiderman:
Thanks a lot..............+rep for u

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