Motion in a straight line practice · Mixed difficulty

The slope of velocity-time graph for motion with uniform velocity is equal to

A particle comes round a circle of radius 1 m once. The time taken by it is 10 sec. The average velocity of motion is

Consider the motion of the tip of the minutes hand of a clock. In one hour
I. The displacement is zero
II. The distance covered is zero
III. The average speed is zero
IV. The average velocity is zero

A man projects a coin upwards from the gate of a uniformly moving train. The path of coin for the man will be

A particle is moving in a straight line with velocity (v) = (t – 4) m/s. What is the average speed between t = 0 to t = 8 second?

A car moves from X to Y with a uniform speed ${v_u}$ and returns to Y with a uniform speed ${v_d}$. The average speed for this round trip is

If position vector of a particle at time $t$ is $\vec{r}=3 t \hat{i}+(8-4 t) \hat{j} \mathrm{~m}$, then

A stone projected upwards with a velocity ‘u’ reaches two points P and Q separated by a distance ‘h’ with velocities u/2 and u/3. The maximum height reached by it is

Find the average velocity when a particle complete the circle of radius $1 \mathrm{~m}$ in $10 \mathrm{~s}$.

Speed is in general _____ in magnitude than that of the velocity.

Statement-I: The average velocity of a particle is zero in a time interval. It is possible that the instantaneous acceleration is never zero in the interval.
Statement-II: The magnitude of average velocity in an interval is equal to its average speed in that interval.

Which of the following are true?
(i) A body having constant speed can have verying velocity.
(ii) Position-time graphs for two objects with zero relative velocity are parallel.
(iii) The numerical ration of velocity to speed of an object can never be more than one.

A body starts to fall freely under gravity. The distances covered by it in first, second and third second are in

A target is made of two plates, one of wood and the other of iron. The thickness of the wooden plate is 4 cm and that of iron plate is 2 cm. A bullet fired goes through the wood first and then penetrates 1 cm into iron. A similar bullet fired with the same velocity from opposite direction goes through iron first and then penetrates 2cm into wood. If ${a_1}$ and ${a_2}$ be the retardation offered to the bullet by wood and iron plates respectively, then

A car covers 60 km at a uniform speed of 120 kmph and the next 60 km at a uniform speed of 80 kmph. Find the total time taken.

A body dropped from a height h with an initial speed zero, strikes the ground with a velocity 3 km/h . Another body of same mass is dropped from the same height h with an initial speed u = 4 km/h. Find the final velocity of second body with which it strikes the ground

Two stones of equal masses are dropped from a rooftop of height h one after another. Their separation distance against time will

A body starts from rest, with uniform acceleration. If its velocity after n seconds is v,then its displacement in the last two seconds is

A particle is constrained to move on a straight line path. It returns to the starting point after 10 sec. The total distance covered by the particle during this time is 30 m. Which of the following statement about the motion of the particle is false

Choose the wrong statement from the following.

A body has speed of V,2V and 3V in first 1/3 of distance S, seconds 1/3 of S and third 1/3 of S respectively. Its average speed will be

Parallactic second is the unit of:

If a particle moves with an acceleration, then which of the following can remain constant

The velocity vector of a particle moving over a horizontal plane is given by $\vec{v}=2 t \hat{i}$. The ratio of the magnitude of instantaneous acceleration of the particle at ${t}=2 \mathrm{sec}$ to the magnitude of displacement of the particle during the interval of first $2 \mathrm{sec}$ is

Two particles start form the same point with different speeds, but one moves along $y=a \sin \omega x$ and the other moves along curve $y=a \cos \omega x$ then

Water drops fall at regular intervals from a tap which is 5 m above the ground. The third drop is leaving the tap at the instant the first drop touches the ground. How far above the ground is the second drop at that instant

A boggy of uniformly moving train is suddenly detached from train and stops after covering some distance. The distance covered by the boggy and distance covered by the train in the same time has relation

Statement-I: In successive time intervals if the average velocities of a particle are equal then the particle must be moving with constant velocity.
Statement-II: When a particle moves with uniform velocity, its displacement always increases with time.

A stone dropped from the top of the tower touches the ground in 4 sec. The height of the tower is about

A particle is moving along $x$-axis whose acceleration is given by $a=3 x-4$, where $x$ is the location of the particle. At $t=0$, the particle is at rest at $x=4 / 3$. The distance travelled by the particle in 5 seconds is