I suck at physics, but I had to confront these some day..
Q1. A balloon is ascending vertically with an acceleration of 0.2 m/s2. Two stones are dropped from it at an interval(I couldn't comprehend what this meant...does it mean one after the other in a time difference of 2s?) of 2s. Find the distance between them when second stone is dropped, the relative velocity between them and separation between them 2s after the second stone is dropped.
Q2. Water drops fall at regular intervals from a tap which is 5m above the ground. The third drop is leaving the tap at the instant the first drop touches the ground. How far above the ground is the second drop at that instant? (g = 10 m/s2) [SOLVED]
Q3. A projectile is projected upwards making an angle of 60 degrees with the horizontal, initial velocity 147 m/s. Then the time after which its inclination with the horizontal is 45 degrees, is?
13)we know that the horizontal component of velocity remains constant.
so ucos 60° = vcos 45° [v is the vel when angle is 45° with horizontal]
from here v=147/√2
initial y component of vel=147sin 60°=147√3/2
y componen of vel when v=147/√2=(147/√2) *sin45° =147/2.
now use vy=uy-gt to get t.
t=5.49 s
39Very encouraging indeed. And who might you be? Some JEE topper?