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Motion In A Plane

Question
CBSEENPH11018549
Wired Faculty App

A ball rolls off the top of a staircase with horizontal velocity u. If the height of the step is h and the width is b then at what step the ball hits?

Solution

Horizontal velocity = u 
Height of the step = h
Let the ball hit the nth step.
Therefore the ball transverses a horizontal distance of nb and falls vertically by nh.
Equation of trajectory of horizontal projectile,
               straight y equals 1 half gx squared over straight u squared


Substituting y = nh and x = nb, we get,
                    nh equals 1 half fraction numerator straight g left parenthesis nb right parenthesis squared over denominator straight u squared end fraction


rightwards double arrow               2 n h u squared equals g n squared straight b squared
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Some More Questions From Motion in A Plane Chapter

Pick out the only vector quantities in the following list:
Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction and charge.

Pick out the two scalar quantities in the following list:
force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, reaction as per Newton’s third law, relative velocity.

What are polar vectors?

Give two examples of polar vectors.

What are axial vectors?

Give two examples of axial vectors.

What are tensors?

Give one example of tensor.

What is module of vector?

What are equal vectors?

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