Motion in one dimension
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1 Work Sheet Define rest and motion. 2. Define distance and displacement. Write their S.I unit. 3. Distinguish between distance and displacement. Write five points of differences.
2 Work Sheet Define speed. Write its mathematical expression and S.I unit. State whether it is a scalar or vector quantity. 2. Explain the following terms uniform speed, non-uniform speed, instantaneous speed and average speed.
3 Work Sheet Define velocity. Write its mathematical expression and S.I unit. State whether it is a scalar or vector quantity. 2. Explain the following terms - uniform velocity, non-uniform velocity, instantaneous velocity and average velocity.
4 Work Sheet Define acceleration. Write its mathematical expression and S.I unit. State whether it is a scalar or vector quantity. 2. Explain the following terms - uniform acceleration, non-uniform acceleration and acceleration due to gravity. 3. Distinguish between speed and velocity. Write four points of difference.
5 Work Sheet - 5 [Numericals] 1. Express 36km/h in m/s. 2. Express 15m/s in km/h. 3. A train takes 3h to travel from Balipara to Guwahati with a uniform speed of 70km/h. Find the distance between the two cities. 4. A car moving due east covers 1km in 100sec. Find its speed and velocity.
6 Work Sheet - 6 [Numericals] 1. The velocity of a moving body changes at a constant rate from 50m/s to 20m/s in 3sec. Find acceleration. 2. A body takes 2h to move from point A to point B and 3h to come back. The distance between A & B is 200km. Find the average speed and average velocity. 3. A body moving with 10m/s comes to rest in 2sec. Find retardation.
7 Work Sheet - 7 Draw the following graphs i) displacement time graph for a stationary object ii) displacement time graph for uniform velocity iii) displacement time graph for variable velocity iv) velocity time graph for uniform velocity v) velocity time graph for uniform retardation vi) velocity time graph when the body is initially not at rest vii) acceleration time graph for motion with uniform velocity viii) acceleration time graph for uniform acceleration ix) acceleration time graph for uniform retardation. x) acceleration time graph for a freely falling body xi) velocity time graph for a freely falling body
8 Work Sheet Derive the following equations - i) v = u + at ii) S = ut + ½ at 2 iii) v 2 = u 2 + 2as 2. Write the equations of motion for the following special cases i) when the body starts from rest ii) when the body is retarding iii) when a body initially at rest falls freely under gravity iv) when a body initially not at rest and falls freely under gravity v) when a body is thrown vertically upwards.
9 Work Sheet - 9 [Numericals] 1. A bullet moving with 20m/s strikes a target and comes to rest after penetrating 10cm. Calculate the retardation. 2. A car moving with 20m/s is brought to rest by applying brakes in 5sec. Calculate retardation. 3. a body travels with 60km/h from point A to point B and returns with 80km/h. Find average speed and average velocity. 4. A body moves from rest with uniform acceleration and travels 270m in 3sec. Find the velocity of the body at 10sec from the start. 5. A body dropped from the top of a tower acquires a velocity of 20m/s on reaching the ground. Calculate the height of the tower.
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