NCERT Solutions for Chapter: Motion in a Plane, Exercise 3: VSA

A cyclist starts from centre $O$ of a circular park of radius $1\mathrm{Km}$ and moves along the path OPRQO as shown in the figure. If he maintains the constant speed of $10{\mathrm{ms}}^{-1}$,what is his acceleration at point $R$ in magnitude and direction?

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A particle is projected in the air at some angle to the horizontal, moves along the parabola as shown in the figure, where $x$ and $y$ indicate horizontal and vertical directions respectively. Show in the diagram, direction of velocity and acceleration at points $A,B$ and $C$.

A ball is thrown from a rooftop at an angle of $45°$ above the horizontal. It hits the ground a few seconds later. At what point during its motion, does the ball have greatest speed?

A ball is thrown from a rooftop at an angle of $45°$ above the horizontal. It hits the ground a few seconds later. At what point during its motion, does the ball have smallest speed?

A ball is thrown from a rooftop at an angle of $45°$ above the horizontal. It hits the ground a few seconds later. At what point during its motion, does the ball have greatest acceleration? Explain.

A foothall is kicked into the air vertically upwards. What is its (a) acceleration, and (b) velocity at the highest point?