Question
Define velocity and acceleration. Draw a velocity time graph for uniformly accelerated motion and prove that the area between the curve of this graph and the time axis is equal to the displacement of the moving object

Answer

self

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

A sitar wire is under a tension of 40N and the length between the bridges is 70cm. A 5m sample of the wire has a mass of 1.0g. Deduce the speed of transverse waves on the wire, frequency of the fundamental and the frequency of the first two harmonics.
A particle of mass $100g$ moving at an initial speed u collides with another particle of same mass kept initially at rest. If the total kinetic energy becomes $0.2J$ after the collision, what could be the minimum and the maximum value of u.
A box weighing $2000N$ is to be slowly slid through $20m$ on a straight track having friction coefficient $0.2$ with the box.
  1. Find the work done by the person pulling the box with a chain at an angle $\theta $ with the horizontal.
  2. Find the work when the person has chosen a value of $\theta $ which ensures him the minimum magnitude of the force.
A uniform disc of radius R is put over another uniform disc of radius 2R of the same thickness and density. The peripheries of the two discs touch each other. Locate the centre of mass of the system.
In figure k = 100N/m, M = 1kg and F = 10N,
  1. Find the compression of the spring in the equilibrium position.
  2. A sharp blow by some external agent imparts a speed of 2m/s to the block towards left. Find the sum of the potential energy of the spring and the kinetic energy of the block at this instant.
  3. Find the time period of the resulting simple harmonic motion.
  4. Find the amplitude.
  5. Write the potential energy of the spring when the block is at the left extreme.
  6. Write the potential energy of the spring when the block is at the right extreme.
The answers of (b), (e) and (f) are different. Explain why this does not violate the principle of conservation of energy.
Use the formula $\text{v}=\sqrt{\frac{\gamma\text{P}}{\rho}}$ to explain why the speed of sound in air:
Increases with temperature,
Calculate the velocity of transverse waves in a copper wire $1mm^2$ in cross section, under the tension produced by $1kg$ wt. The relative density of copper = $8.93$.
Prove that when the vector sum of all external forces acting on a system is zero, then the center of mass remains constant.
During a total solar eclipse the moon almost entirely covers the sphere of the sun. Write the relation between the distances and sizes of the sun and moon.
Show that for a projectile the angle between the velocity and the x-axis as a function of time is given by, $\theta(\text{t})=\tan^{-1}\Big(\frac{\text{u}_\text{oy}-\text{gt}}{\text{u}_\text{ox}}\Big)$