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Figure shows the orientation of two vectors u and v in the TY-plane. which of the following is correct?(a)... read more
Figure shows the orientation of two vectors u and v in the TY-plane. which of the following is correct?
(a) a and p are positive while b and q are negative
(b) a, p and b are positive while q is negative
(c) a, q and b are positive while p is negative
(d) a, b, p and q are all positive read less Vaibhav Sharan

Tutor

(b)
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A football is kicked into the air vertically upwards. What is its (a) acceleration and (b) velocity at... read more
A football is kicked into the air vertically upwards. What is its (a) acceleration and (b) velocity at the highest point? read less

A boy travelling in an open car moving on a levelled road with constant speed tosses a ball vertically... read more
A boy travelling in an open car moving on a levelled road with constant speed tosses a ball vertically up in the air and catches it back. Sketch the motion of the ball as observed by a boy standing on the footpath. Give explanation to support your diagram. read less Vaibhav Sharan

Tutor

The motion obsereved is parabolic for stationary boy as the equation of motion will be y = vt + 1/2*(gt²) where v is horizontal and g vertical . According to boy in car only vertical upward motion will take place , but according to stationary boy , both the motions will be added and as a resultant... read more

The motion obsereved is parabolic for stationary boy as the equation of motion will be y = vt + 1/2*(gt²) where v is horizontal and g vertical . According to boy in car only vertical upward motion will take place , but according to stationary boy , both the motions will be added and as a resultant parabolic motion will be observed .

This can be verified from the equation which is quadratic and hence the graph will be parabolic .

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A particle slides down a frictionless parabolic (y = x2) track (A – B – C) starting from... read more
A particle slides down a frictionless parabolic (y = x2) track (A – B – C)
starting from rest at point A (figure). Point B is at the vertex of parabola and point C is at a height less than that of point A. After C, the particle moves freely in air as a projectile. If the particle reaches highest point at P, then
(a) KE at P = KE at B
(b) height at P = height at A
(c) total energy at P = total energy at A
(d) time of travel from AtoB read less

For a particle performing uniform circular motion, choose the correct statement(s) from the following.... read more
For a particle performing uniform circular motion, choose the correct
statement(s) from the following.
(a) Magnitude of particle velocity (speed) remains constant.
(b) Particle velocity remains directed perpendicular to radius vector.
(c) Direction of acceleration keeps changing as particle moves.
(d) Angular momentum is constant in magnitude but direction keeps changing. read less

A cyclist starts from centre O of a circular park of radius 1 km and moves along the path OPRQO as... read more

A cyclist starts from centre O of a circular park of radius 1 km and moves along the path OPRQO as shown in figure. If he maintains constant speed of 10 ms”1, what is his acceleration at point R in magnitude and direction? read less

A particle is projected in air at some angle to the horizontal, moves along parabola as shown in figure... read more
A particle is projected in air at some angle to the horizontal, moves along parabola as shown in figure where x and y indicate horizontal and vertical directions, respectively. Show in the diagram, direction of velocity and acceleration at points A, B and C. read less

(a) Earth can be thought of as a sphere of radius 6400 km. Any object (or a person) is performing circular... read more
(a) Earth can be thought of as a sphere of radius 6400 km. Any object (or a person) is performing circular motion around the axis of the earth due to the earth rotation (period 1 day). What is the acceleration of object on the surface of the earth (at equator) towards its centre? What is it at latitude 9? How does these accelerations compare with g = 9.8 m/s2? (b) Earth also moves in circular orbit around the sun once every year with an orbital radius of 1.5 x 1011 What is the acceleration of the earth (or any object on the surface of the earth) towards the centre of the sun? How does this acceleration compare with g = 9.8 m/s2? read less

Given below in Column I are the relations between vectors a, b and c and in Column II are the orientations... read more

Given below in Column I are the relations between vectors a, b and c and in Column II are the orientations of a, b and c in the AY-plane. Match the relation in Column I to correct orientations in Column II.
Column I
(a) a + b = c
(b) a – c = b
(c) b – a = c
(d) a+b+c = 0

Column II    read less

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A hill is 500 m high. Supplies are to be sent across the hill using a canon that can hurl packets at... read more
A hill is 500 m high. Supplies are to be sent across the hill using a canon that can hurl packets at a speed of 125 m/s over the hill. The canon is located at a distance of 800 m from the foot of hill and can be moved on the ground at a speed of 2 m/s, so that its distance from the hill can be adjusted. What is the shortest time in which a packet can reach on the ground across the hill? Take g= 10 m/s2. read less

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