EASY
JEE Main
IMPORTANT
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A body rotating with an angular speed of 600 rpm is uniformly accelerated to 1800 rpm in 10 sec. The number of rotations made in the process is

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Important Questions on Kinematics

MEDIUM
JEE Main
IMPORTANT
What will be the projection of vector A=i^+j^+k^ on vector B=i^+j^ ?
MEDIUM
JEE Main
IMPORTANT
Three particles P, Q and R are moving along the vectors A=i^+j^,  B=j^+k^ and C=-i^+j^, respectively. They strike on a point and start to move in different directions. Now particle P is moving normal to the plane which contains vector A and B. Similarly particle Q is moving normal to the plane which contains vector A and C. The angle between the direction of motion of P and Q is cos-11x. Then the value of x is          .
EASY
JEE Main
IMPORTANT

Match List I with List II.

List I List II
(a) C-A-B=0 (i) Question Image
(b) A-C-B=0 (ii) Question Image
(c) B-A-C=0 (iii) Question Image
(d) A+B=-C (iv) Question Image

Choose the correct answer from the options given below:

MEDIUM
JEE Main
IMPORTANT
Water droplets are coming from an open tap at a particular rate. The spacing between a droplet observed at 4th second after its fall to the next droplet is 34.3 m. At what rate the droplets are coming from the tap ? (Take g=9.8 m s-2)
HARD
JEE Main
IMPORTANT
The relation between time t and distance x for a moving body is given as t=mx2+nx, where m and n are constants. The retardation of the motion is: (When v stands for velocity)
HARD
JEE Main
IMPORTANT
A balloon was moving upwards with a uniform velocity of 10 m s-1. An object of finite mass is dropped from the balloon when it was at a height of 75 m from the ground level. The height of the balloon from the ground when object strikes the ground was around: (takes the value of g as 10 m s-2)
HARD
JEE Main
IMPORTANT
The instantaneous velocity of a particle moving in a straight line is given as v=αt+βt2, where α and β are constants. The distance travelled by the particle between 1 s and 2 s is:
EASY
JEE Main
IMPORTANT
Two vectors X and Y have equal magnitude. The magnitude of (X-Y) is n times the magnitude of (X+Y). The angle between X and Y is :