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Free CBSE - Class 11 Physics - Motion in a Plane worksheets

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1.
A cricketer can throw a ball to a maximum horizontal distance of $100 m$. How much high above the ground can the cricketer throw the same ball ?
2.
A stone tied to the end of a string $80 cm$ long is whirled in a horizontal circle with a constant speed. If the stone makes 14 revolutions in $25 s$, what is the magnitude and direction of acceleration of the stone ?
3.
An aircraft executes a horizontal loop of radius $1.00 km$ with a steady speed of $900 km/h$. Compare its centripetal acceleration with the acceleration due to gravity.
4.
Read each statement below carefully and state, with reasons, if it is true or false : (b) The velocity vector of a particle at a point is always along the tangent to the path of the particle at that point
5.
Read each statement below carefully and state, with reasons, if it is true or false : (c) The acceleration vector of a particle in uniform circular motion averaged over one cycle is a null vector
6.
The position of a particle is given by $\boldsymbol{r} = 3.0t \hat{i} - 2.0t^2 \hat{j} + 4.0 \hat{k} m$ where $t$ is in seconds and the coefficients have the proper units for $\boldsymbol{r}$ to be in metres. (a) Find the $\boldsymbol{v}$ and $\boldsymbol{a}$ of the particle?
7.
The position of a particle is given by $\boldsymbol{r} = 3.0t \hat{i} - 2.0t^2 \hat{j} + 4.0 \hat{k} m$ where $t$ is in seconds and the coefficients have the proper units for $\boldsymbol{r}$ to be in metres. (b) What is the magnitude and direction of velocity of the particle at $t = 2.0 s$ ?
8.
A particle starts from the origin at $t = 0 s$ with a velocity of $10.0 \hat{j} m/s$ and moves in the x-y plane with a constant acceleration of $(8.0 \hat{i} + 2.0 \hat{j}) m s^{-2}$. (a) At what time is the x- coordinate of the particle $16 m$? What is the y-coordinate of the particle at that time?
9.
A particle starts from the origin at $t = 0 s$ with a velocity of $10.0 \hat{j} m/s$ and moves in the x-y plane with a constant acceleration of $(8.0 \hat{i} + 2.0 \hat{j}) m s^{-2}$. (b) What is the speed of the particle at the time ?
10.
An aircraft is flying at a height of $3400 m$ above the ground. If the angle subtended at a ground observation point by the aircraft positions $10.0 s$ apart is $30^{\circ}$, what is the speed of the aircraft ?
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