A horizontal bridge is built across a river. A student standing on the bridge throws a small ball vertically upwards with a velocity 4 ms^-1 . The ball strikes the water surface after 4s. The ball strikes the water surface after 4s. The height of bridge above water surface is (take g = 10ms^-2 )

The ratio of the distances travelled by a freely falling body in the 1^st,2^nd,3^rd and 4^th second

A particle covers half of its total distance with speed

v1 and the rest half distance with speed v2. Its average

speed during the complete journey is

A car runs at a constant speed on a circular track of

radius 100 m, taking 62.8 seconds for every circular

lap. The average velocity and average speed for each

circular lap respectively is

A car moves a distance of 200 m. It covers the first half

of the distance at speed 40 km/h and the second half

of distance at speed v. The average speed is 48 km/h.

The value of v is

A car covers the first half of the distance between

two places at 40 km/h and another half at 60 km/h.

The average speed of the car is

If the velocity of a particle is v = At + Bt², where A

and B are constants, then the distance travelled by it

between 1 s and 2 s is

The displacement ‘x’ (in meter) of a particle of

mass ‘m’ (in kg) moving in one dimension under

the action of a force, is related to time ‘t’ (in sec) by

t= √x̅+̅3̅. The displacement of the particle when its

velocity is zero, will be

A particle shows

distance-time curve as

given in this figure. The

maximum instantaneous

velocity of the particle is

around the point

The displacement-time graph of a moving particle

is shown below. The instantaneous velocity of the

particle is negative at the point

Which of the following curve does not represent

motion in one dimension ?

A particle moves a distance x in time t according to

equation x = (t + 5)–1. The acceleration of particle is

proportional to

If a ball is thrown vertically upwards with speed u, the

distance covered during the last t seconds of its ascent is

What will be the ratio of the distance moved by a

freely falling body from rest in 4th and 5th seconds of

journey ?

A body dropped from top of a tower fall through

40 m during the last two seconds of its fall. The

height of tower is (g = 10 m/s2)

A body starts from rest, what is the ratio of the distance

travelled by the body during the 4th and 3rd second ?

The velocity of train increases uniformly from

20 km/h to 60 km/h in 4 hours. The distance travelled

by the train during this period is

A man throws balls with the same speed vertically

upwards one after the other at an interval of

2 seconds. What should be the speed of the throw so

that more than two balls are in the sky at any time ?

(Given g = 9.8 m/s²)

If a car at rest accelerates uniformly to a speed of

144 km/h in 20 s, it covers a distance of

A car moving with a speed of 40 km/h can be

stopped by applying brakes after atleast 2 m. If the

same car is moving with a speed of 80 km/h, what is

the minimum stopping distance?

The position x of a particle varies with time, (t) as

x = at2 – bt3. The acceleration will be zero at time t

is equal to

Identify the vector quantity among the following.

The magnitude of vectors

A̅,B̅ and C̅ are 3, 4 and

5 units respectively. If

A̅+B̅=C̅ , the angle between

A̅ and B̅ is

If a unit vector is represented by 0.5^i−0.8^j+ck^

then the value of c is

If the magnitude of sum of two vectors is equal to

the magnitude of difference of the two vectors, the

angle between these vectors is

The vectors

A̅

and

B̅ are such that

∣A̅+B̅∣ = ∣A̅−B̅ ∣.

The angle between the two vectors is̅̅̅

If

∣A̅+B̅∣ = ∣A̅∣ + ∣B̅∣ then angle between A and B

will be

The x and y coordinates of the particle at any time

are x = 5t – 2t² and y = 10t respectively, where x and

y are in metres and t in seconds. The acceleration of

the particle at t = 2 s is

A body is moving with velocity 30 m/s towards east.

After 10 seconds its velocity becomes 40 m/s towards

north. The average acceleration of the body is

If a unit vector is represented by 0.5^i−0.8^j+ck^

then the value of c is

A bus is moving on a straight road towards north

with a uniform speed of 50 km/hour then it turns

left through 90°. If the speed remains unchanged

after turning, the increase in the velocity of bus in

the turning process is

A particle starting from the origin (0, 0) moves in a

straight line in the (x, y) plane. Its coordinates at a

later time are ( √3,3). The path of the particle makes

with the x-axis an angle of

A particle moves in x-y plane according to rule

x = asinwt and y = acoswt. The particle follows

Two bodies A (of mass 1 kg) and B (of mass 3 kg) are

dropped from heights of 16 m and 25 m, respectively.

The ratio of the time taken by them to reach the

ground is

A car accelerates from rest at a constant rate a for

some time after which it decelerates at a constant

rate β and comes to rest. If total time elapsed is t,

then maximum velocity acquired by car will be

A bus travelling the first one-third distance at a speed

of 10 km/h, the next one-third at 20 km/h and at last

one-third at 60 km/h. The average speed of the bus is

A boy standing at the top of a tower of 20 m height

drops a stone. Assuming g = 10 m s–2, the velocity

with which it hits the ground is

The displacement-time graph of a moving object is a straight line. Then,

If the displacement of an object is zero, then what can we say about its distance covered?

Which of the following changes when a particle is moving with uniform velocity?

The distance travelled by an object is directly proportional to the time taken. Its acceleration

A particle is moving with a constant speed along straight line path. A force is not required to

If the velocity-time graph of an object is a straight line sloping downwards, the body has

When a body is dropped from a tower, then there is an increase in its

If s represents distance and S represents displacement, then |S|/s is.

The velocity time graph of motion of an object starting from rest with uniform acceleration is a straight line

If the displacement-time graph of an object is parallel to the time-axis, then it represents that the object is :

If the displacement of a given body is found to be directly proportional to the cube of the time elapsed, then the magnitude of the acceleration of the body is

The total vertical distance covered uy a freely falling body in a given time is directly proportional to