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Grade 12Mechanics

From the top of a towr of height 40m a ball is projected upward with a speed of 20 m/s at an angle of 30degree to the horizontal . distance from the foot of the tower where the ball hit the ground is 40*b½. Here b is an integer. Find b.

Profile image of Hansraj Gyanendra Singh Rajawat
10 Years agoGrade 12
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2 Answers

Profile image of Vikas TU
9 Years ago
in x direcn.
x = 20cos30 * t..............(1)
in y direcn.
-40  = 20sin30*t – 0.5gt^2..............(2)
solve the quad. eqn. (2) and substitute in eqn. (1)
to know the x value.
 
Profile image of trinabh kohli
7 Years ago
the logic is simple total range would be u x u x sin60/ g + 40tan30 = 102m
now 40 x b½
would be 120 
we get b1/2 = 3 and hence b = 9