EASY
Earn 100

What is point mass give examples?

Important Questions on Motion in a Straight Line

EASY
Starting at time t=0 from the origin with speed 1 m s-1, a particle follows a two-dimensional trajectory in the x-y plane so that its coordinates are related by the equation y=x22. The x and y components of its acceleration are denoted by ax and ay, respectively. Then
MEDIUM

Two skaters, P and Q are skating towards each other. Skater, P throws a ball towards, Q every 5 s such that it always leaves her hand with speed 2 m s-1 with respect to the ground. Consider two cases: (I) P runs with speed 1 m s-1 towards Q, while Q remains stationary. (II) Q runs with speed 1 m s-1 towards P, while P remains stationary. Note That irrespective of speed of P, ball always leaves P s hand with speed 2 m s-1 with respect to the ground. Ignore gravity. Balls will be received by Q.

EASY
Motion of a particle in x-y plane is described by a set of following equations x=4sinπ2-ωt m and y=4sinωt m. The path of the particle will be
HARD

Three balls, A, B and C are released and all reach the point X (shown in the figure). Balls A and B are released from two identical structures, one kept on the ground and the other at height h from the ground as shown in the figure. They take time tA and tB respectively to reach X (time starts after they leave the end of the horizontal portion of the structure). The ball C is released from a point at height h vertically above X and reaches X in time tC. Choose the correct statement.

Question Image

MEDIUM

When a particle moves with variable velocity, which of the following statement are NOT correct ?
(i) Average speed = average velocity
(ii) Instantaneous speed = instantaneous velocity
(iii) Distance covered = magnitude of displacement

MEDIUM
For uniform acceleration in rectilinear motion, which of the following is not correct?
EASY
A particle of mass 2 kg moves on a circular path with constant speed 10 m s-1. Find change in speed and magnitude of change in velocity. When particle completes half revolution.
MEDIUM
Two bodies are thrown with the same initial speed at angles α and 90-α with the horizontal. What will be horizontal ranges?
MEDIUM

Represent the union of two sets by Venn diagram for each of the following.

X={x | x is a prime number between 80 and 100}

Y={y | y is an odd number between 90 and 100}

MEDIUM
A body moves with a constant velocity of 50 m s-1 from the point 3,4 m in a direction of 3i^+4j^. The position vector of the body at t=3 s is :
HARD
From a lift moving upwards with a uniform acceleration a=2 m s-2, a man throws a ball vertically upwards with a velocity v=12  m s-1 relative to the lift. The ball comes back to the man after a time t. Find the value of t in seconds.
EASY
In which of the following examples of motion, can the body be considered approximately a point object:
MEDIUM
A block of mass 15 kg is placed on a long trolley. The coefficient of static friction between the block and the trolley is 0.18. The trolley accelerates from rest with 0.5 m s-2 for 20 s and then moves with uniform velocity. Discuss the motion of the block as viewed by an observer is moving with the trolley.
HARD
A lift is coming from 8th floor and is just about to reach 4th floor. Taking ground floor as Origin and positive direction upwards for all quantities, which one of the following is correct?
HARD
Mark the correct statements for a particle going on a straight line (x-position coordinate, v-velocity and a-acceleration):
EASY
A person sitting in an open car moving at a constant velocity throws a ball vertically up into the air. The ball falls