Two ants A, B start from a point X and walk at the same speed, to a sugar cube at point Y. A moves along the bigger semi- at ves along the three smaller semi-circles. Which ant a more intelligent? Justify

Two particles start from the same point with different speeds but one moves along y=a sin omega x and other moves along curve y=cos omegax

Two point charges (Q each are placed at (0,y) and (0-y) A point charge q of the sme polarity can move along the x-axis. Then

Two point charges (Q each are placed at (0,y) and (0-y) A point charge q of the same polarity can move along the x-axis. Then

Three particles start from the origin at the same time, one with a velocity v_(1) along the x-axis, second along the y-axis with a velocity v_(2) and third particle moves along the line x = y. The velocity of third particle, so that three may always lie on the same line is:

Three particles start from the origin at the same time, one with a velocity v_(1) along the x-axis, second along the negative y-axis with a velocity v_(2) and third particle moves along the line x = y. The velocity of third particle, so that three may always lie on the same line is:

Three particles start from the origin at the same time, one with velocity u_1 along the x-axis, the second with velocity u_2 along the y-axis . Find the velocity of the third particles, along the x=y line so that the three particles may always lie on the same straight line.

long piece of paper is10 cm wide and is moving uniformly along its length with a velocity of 2 cm//s . An ant starts moving on the paper from point A and moves uniformly with respect to the paper. A spider was located exactly opposite to the ant just outside the paper at point B at the instant the ant started to move on the paper. The spider, without moving itself, was able to grab the ant 5 second after it (the ant) started to move. Find the speed of ant relative to the paper.

As shown in figure AB represents an infinite wall tangential to a horizontal semi circular track. O is a point source of light on the ground at the centre of the circle. A block moves along the circular track with speed v starting from the point where the wall touches the circle. If the velocity and acceleration of shadow along the length of the wall is respectively 'V' and 'a' then,