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Q.

The point from where a ball is projected is taken as the origin of the coordinate axes. The x and y components of its displacement are given by x = 6t and y=8t-5t2. What is the angle of projection?

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a

tan-1(14)

b

tan-1(43)

c

tan-1(18)

d

tan-1(16)

answer is B.

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Detailed Solution

tanθ = vyvx= 86 = 43   or  θ = tan-143
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The point from where a ball is projected is taken as the origin of the coordinate axes. The x and y components of its displacement are given by x = 6t and y=8t-5t2. What is the angle of projection?