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Answer:
i think 20 is the answer
Don't blame me as it's answer is wrong
Step-by-step explanation:
Given info : motion of particle is given as s_x=t^2+t+4s
x
=t
2
+t+4 m and s_y=4ts
y
=4t m.
To find : angle made by displacement with the X - axis at t = 3 sec
Solution : at t = 3 sec,
displacement of particle along x - axis is x = (3)² + (3) + 4 = 9 + 3 + 4 = 16 m
displacement of particle along y - axis is y = 4(3) = 12 m
so, displacement of particle at t = 3 sec is (16 i + 12 j) m.
Angle made by displacement with x - axis = tan¯¹ (y/x) = tan¯¹ (16/12)
= Tan¯¹(4/3)
Therefore the angle made by displacement with x - axis is tan¯¹(4/3).
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