The figure shows a velocity-time graph of a particle moving along a straight line The correct displacement-time graph of the particle is shown as
A hiker stands on the edge of a cliff $490\; m$ above the ground and throws a stone horizontally with an initial speed of $15 \;m/ s$. Neglecting air resistance, find the time taken by the stone to reach the ground, and the speed with which it hits the ground. (Take $g = 9.8 \;m /s^2$ ).
Two boys are standing at the ends $A$ and $B$ of a ground where $AB = a$. The boy at $B$ starts running in a direction perpendicular to $AB$ with velocity ${v_1}.$ The boy at $A$ starts running simultaneously with velocity $v$ and catches the other boy in a time $t$, where $t$ is
A girl riding a bicycle with a speed of $5\,ms^{-1}$ towards north direction, observes rain falling vertically down. If she increases her speed to $10\,ms^{-1}$, rain appears to meet her at $45^o$ to the vertical. What is the speed of the rain ? In what direction does rain fall as observed by a ground based observer ?
A person walks $25.0^{\circ}$ north of east for $3.18 \,km$. How far would she have to walk due north and then due east to arrive at the same location?