Grade 12th passMechanics

The horizontal and vertical displacements of a particle moving along a curved line are given by x=5t and y=2t2 +t. Time after which its velocity vector makes an angle of 45 degree with the horizontal is ---------

Question image for The horizontal and vertical displacements of a par

Akash Mondal

8 Years agoGrade 12th pass

2 Answers

Arun

8 Years ago

Dear Akash

As at an angle of 45° both the components i.e. horizontal and vertical components of velocity should be equal as

Cos45 = sin 45

Hence

dx/dt = dy/dt

5 = 4t +1

4t = 4

t = 1 sec.

Hence after 1 sec, velocity vector will make an angle of 45°

Regards

Arun (askIITians forum expert)

RO

8 Years ago

Dear Akash

As at an angle of 45° both the components i.e. horizontal and vertical components of velocity should be equal as

Cos45 = sin 45

Hence

dx/dt = dy/dt

5 = 4t +1

4t = 4

t = 1 sec.

Hence after 1 sec, velocity vector will make an angle of 45°

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The horizontal and vertical displacements of a particle moving along a curved line are given by x=5t and y=2t2 +t. Time after which its velocity vector makes an angle of 45 degree with the horizontal is ---------

Akash Mondal

2 Answers

Arun

RO

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