The trajectory of a particle moving in xy-plane is y=x3-3x2-4x+12. The particle crosses the x-axis : a)Once b) Twice c) Three times d) Four times

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Grade 11General Physics

The trajectory of a particle moving in xy-plane is y=x³-3x²-4x+12. The particle crosses the x-axis :

a)Once

b) Twice

c) Three times

d) Four times

Abhingya Patra

16 Years agoGrade 11

1 Answer

Badiuddin askIITians.ismu Expert

16 Years ago

Dear abhingya

y=x³-3x²-4x+12

f(x)= x³-3x²-4x+12

f(-2) =0

f(2) =0

f(3) =0

clearly it cut the x axis at three points

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The trajectory of a particle moving in xy-plane is y=x3-3x2-4x+12. The particle crosses the x-axis : a)Once b) Twice c) Three times d) Four times

Abhingya Patra

1 Answer

Badiuddin askIITians.ismu Expert

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The trajectory of a particle moving in xy-plane is y=x³-3x²-4x+12. The particle crosses the x-axis :

a)Once

b) Twice

c) Three times

d) Four times

. Because of the rotation of the earth, a plumb bob may not hang exactly along the direction of
the earth’s gravitational pull (its weight) but deviates slightly from this direction. Calculate the
deviation (a) at 40 latitude, (b) at the poles, and (c) at the equator