the horizontal and vertical x and y of projectile at a given time `t` are given by x=6t metres and y=8t - 5t^2 metres. The range of the projectile in metres is
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Answer is 48/5 metres
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9.6 m.
Explanation:
x = utcos∝ = 6t
y = utsin∝ - 5t² = 8t - 5t²
ucos∝ = 6
usin∝ = 8
u² = 100 , u²sin∝cos∝ = 48 , tan∝ = 4/3
u²sin2∝ = 96
The range of the projectile in metres is = 96/10 = 9.6 m.
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