Motion in a straight line practice · Medium

A body falls from a height h=200m (at New Delhi). The ratio of distance travelled in each 2 sec during t=0 to t=6 second of the journey is

The numerical ratio of displacement to distance is

Position of particle during motion is expressed as $\vec r = \left( {5{t^2}\hat i + 3t\,\hat j} \right)m$. The magnitude of acceleration of particle at t = 0, is

A car accelerates from rest at a constant rate $\alpha$ for some time, after which it decelerates at a constant rate $\beta$ comes to rest. If the total time elapsed is t, then the maximum velocity acquired by the car is

Assertion: The average speed of a body over a given interval of time is equal to the average velocity of the body in the same interval of time if a body moves in a straight line in one direction.
Reason: Because in this case distance travelled by a body is equal to the displacement of the body.

The three initial and final position of a man on the x-axis are given as (i) (-8m,7m) (ii) (7m,-3m) and (iii) (-7m,3m) Which pair gives the negative displacement

An insect moves $3m\,\,east$, $4m\,\,north$ and $5m$ vertically up. Displacement covered by insect is

A particle moves in the east direction with 15 m/sec for 2 sec then northwards with 5 m/s for 8 sec. Average speed of the particle is

Select the incorrect statements from the following
S1 : Average velocity is path length divided by time interval
S2 : In general, speed is greater than the magnitude of the velocity
S3 : A particle moving in a given direction with a non-zero velocity can have zero speed
S4 : The magnitude of average velocity is the average speed

Assertion: Kinematic equations are exact and are always correct.
Reason: The definitions of instantaneous velocity and acceleration are true only for motion in which the magnitude and direction of acceleration are constant during motion.

An automobile, travelling at 40 km/h, can be stopped at a distance of 40 m by applying brakes. If the same automobile is travelling at 80 km/h, the minimum stopping distance, in metres, is (assume no skidding)

A car travels half the distance with constant velocity of 40 kmph and the remaining half with a constant velocity of 60 kmph. The average velocity of the car in kmph is

A ball thrown vertically upwards after reaching a maximum height h, returns to the starting point after a time of l0 s. Its displacement is

STATEMENT-1 : For an observer looking out through the window of a fast moving train, the nearby objects appear to move in the opposite direction to the train, while the distant objects appear to be stationary.

STATEMENT-2 : If the observer and the object are moving at velocities $\vec{v}_1$ and $\vec{v}_2$ respectively with reference to a laboratory frame, the velocity of the object with respect to the observer is $\vec{v}_2-\vec{v}_1$.

A particle moves along x-axis as $x = 4\left( {t - 2} \right) + a{\left( {t - 2} \right)^2}$ Which of the following is true

The position of a particle x (in metres) at a time t seconds is given by the relation $\vec r = \left( {3t\hat i - {t^2}\hat j + 4\hat k} \right)$. Calculate the magnitude of velocity of the particle after 5 seconds

A stone falls from a balloon that is descending at a uniform rate of $12\mathrm{m}{\mathrm{s}^{ - 1}}$. The displacement of the stone from the point of release after 10s is

A body having an initial velocity of $10\,\,\,m{s^{ - 1}}$ moves with a uniform acceleration $20\,\,\,m{s^{ - 2}}$ and reaches a final velocity $v = 40\,\,\,m{s^{ - 1}}$ in 4 seconds. The acceleration of the body is $\left[ {m{s^{ - 2}}} \right]$

Consider the acceleration, velocity and displacement of a tennis ball as it falls to the ground and bounces back. Directions of which of these changes in the process

The numerical ratio of displacement to the distance covered is always

A body is moving along a straight line path with constant velocity. At an instant of time the distance travelled by it is s and its displacement is D, then

Statement-I: The speed of a body can be negative.
Statement-II: If the body is moving in the opposite direction of positive motion, then its speed is negative.

The numerical ratio of displacement to distance for a moving object is

A body is projected up with a speed ‘u' and the time taken by it is T to reach the maximum height H. Pick out the correct statement

Stopping distance of a moving vehicle is directly proportional to

A man goes 10 m towards North, then 20 m towards east then displacement is

A body starts from rest and travels a distance S with uniform acceleration, then moves uniformly a distance 2 S uniformly, and finally comes to gest after moving further 5 S under uniform retardation. The ratio of average velocity to maximum velocity is

In one dimensional motion, instantaneous speed $v$ satisfies $0 \leq v < v_0$.

Which branch of physics deals with motion without considering its causes?

A train started from rest from a station and accelerated at $2\,m{s^{ - 2}}$ for 10sec. Then it travels at constant speed for 30 sec and there after it decelerated at $4\,m{s^{ - 2}}$ until it stopped at the next station. The distance between two stations is