Question
Science
A batsman hits a cricket ball from ground level. It is caught 1.8 seconds later by the third man standing 43.4 m from the bat. The ball leaves the bat at a speed of 26m/s. Calculate how high above the ground it is caught
A batsman hits a cricket ball from ground level. It is caught 1.8 seconds later by the third man standing 43.4 m from the bat. The ball leaves the bat at a speed of 26m/s. Calculate how high above the ground it is caught
Answers
Ms. Sue
Your School SUBJECT is science.
the x-velocity is 43.4/1.8 = 24.111 m/s
so, the ball is hit at an angle θ such that cosθ = 24.111/26, so θ = 21.97°
So, the y-velocity is 26sin21.97° = 9.73 m/s.
The height of the ball is
y = 9.73t - 4.9t^2
So, when caught after 1.8 seconds,
y(1.8) = 1.638
so, the ball is hit at an angle θ such that cosθ = 24.111/26, so θ = 21.97°
So, the y-velocity is 26sin21.97° = 9.73 m/s.
The height of the ball is
y = 9.73t - 4.9t^2
So, when caught after 1.8 seconds,
y(1.8) = 1.638
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