Asked by Deepankar Roy
A soccer player kicks a ball at an angle 45degree with an initial speed of 20m/s,assuming that the ball travels in a vertical plane. Calculate (a) The time at which the ball reaches the highest point. (b) The maximum height reached. (c) The horizontal range of the ball and (d) The time for which the ball is in the air.
Answers
Answered by
Henry
a. Vo = 20m/s[45o].
Xo = 20*Cos45 = 14.14 m/s.
Yo = 20*sin45 = 14.14 m/s.
Y = Yo + g*t = 0.
14.14 - 9.8t = 0, t = 1.44 s.
b. Y^2 = Yo^2 + 2g*h = 0.
(14.14)^2 - 19.6h = 0, h = ?.
c. Range = Vo^2*sin(2A)/g. A = 45o.
d. T = Tr+Tf. Tf = Tr, T = Tr+Tr = 1.44 + 1.44 = 2.88 s.
d.
Xo = 20*Cos45 = 14.14 m/s.
Yo = 20*sin45 = 14.14 m/s.
Y = Yo + g*t = 0.
14.14 - 9.8t = 0, t = 1.44 s.
b. Y^2 = Yo^2 + 2g*h = 0.
(14.14)^2 - 19.6h = 0, h = ?.
c. Range = Vo^2*sin(2A)/g. A = 45o.
d. T = Tr+Tf. Tf = Tr, T = Tr+Tr = 1.44 + 1.44 = 2.88 s.
d.
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