114 - Kinematics Questions Answers
A small ball is thrown from foot of a wall with minimum possible velocity to hit a bulb B on the ground at a distance L away from the wall.Find the expression for height h of shadow of the ball on the wall as a function of time t.Acceleration due to gravity is g.
While making this paper, I stayed up till late at night working with candle light. I had two
candles of equal length L lit and placed at the same time, as shown in the figure. Immediately
thereafter I noticed that the shadow of the first candle on the left wall is not changing in
length, and the shadow of the second candle on the right wall is being shortened at a speed v.
(Take d1
= 10 cm, d2
= 20 cm, d3
= 30 cm, v = 1 mm/s, L = 20 cm.)
Problem is interesting yet not complete. Complete it to get answer
thanks
Two boys enter a running escalator at the ground floor of a shopping mall . The first boy repeatedly follows a cycle of p1=1 step up and then q1=2 steps down whereas the second boy repeatedly follows a cycle of p2=2 steps up and then q2=1 step down. Both of them move relative to escalator with a speed v=50cm/s . If the boys take t1=250s and t2=50s respectively to reach the first floor in complete number of cycles, how fast is the escalator running ?
A particle projected from the ground passes two points , which are at height 12m and 18m above the ground and a distance d=10m apart . What could be the minimum speed of projection. Acceleration due to gravity is g=10m/s^2 .
the min no. of non coplanar and non zero vectors of unequal magnitude which can give zero resultant is _________??
four
let three are i, j, k then fourth will be -(i+j+k)
if y= 50 / [(x-5)2 +5]2 then maximum value of y will be??
let z = [(x-5)2 +5]
then dz/dx = 2(x-5)
compare it to 0 we get x = 5
so for x = 5, z will be minimum and so y will be max for that x
put x= 5 and get answer
A particle has initial velocity of y = 3i+ 4j and a constant force F = 4i -3j acts on it. Then what will be the path followed by the particle?
acceleration is constant and initial velocity is perpendicular to it because dot product of two given vectors is 0 so this is the case equivalent to a particle thriwn from the top of a building horizontally under gravity so path will be parabolic
if you want the equation of path then reply
A ball is dropped from the top of the tower of height h. It covers a distance h/2 in the last second of its motion. How long does the ball remain in air?
let total time of flight = t
so h = gt2/2 and
h/2 = gt-(g/2)
so gt2/4 = gt-(g/2)
or t2/4 = t -(1/2)
now solve