Mechanics | Relativity Answers

Consider a system of three equal mass particles moving in a plane; their positions are given by
ˆi ˆj
i i a + b .
For particle 1, 3 4, 1 0
2
a1 = t + b =
For particle 2, a2 = 7t + 5, b2 = 2
For particle 3, a3 = 2t, b3 = 3t + 4
Determine the position and velocity of the centre of mass as functions of time.

A bird flies in the east direction with a speed of 5 ms−1. The wind is blowing towards north at a
speed of 3 ms−1. Determine the relative velocity of the bird with respect to the wind. Draw
appropriate diagram for solving the problem.

When an aircraft is travelling at low height, then the pictures in T.V. screen undergo vibration. Why ?

a round is launched straight up at 460 m/s. How high will it be to the apex?

A radar locates an enemy bomber 400 km away and flying directly toward the capital city at a speed of 600 km per hour. At the same moment, a fighter plane leaves the capital city at a speed of 750 km per hour. When and where will the fighter plane intersect the enemy bomber?

A truck covers 40.0 m in 8.5 s while smoothly accelerating to a final velocity of 2.8 m/s. What was the original velocity? What is the acceleration?

a cyclist completes half round of a circular track of radius 318 m in 1.8 minutes.find acceleration

i recently came across a comment that when we push a rubber ball into water filled in a bucket,water level rises because of force applied by our hand (ie more force we apply , the more water rises) .but i do belive its absurd, water rise occur as a function of volume {of our hand} ..

if water level rose with force applied , that would mean if i moved my fingers in water , giving force to the body ,without changing the immersed hand volume , then a water rise would occur......isnt that creation of water from water...................


PLEaSE ANSWER URGENTLY
PLEASE ITS URGENT

Write the equation of motion of a simple harmonic oscillator which has an amplitude of
5 cm and it executes 150 oscillations in 5 minutes with an initial phase of 45°. Also
obtain the value of its maximum velocity.

a water fountain ejects water at a 73 degree angle from a height of 10 cm and lands 20 cm away with a final height of 0 cm What is the initial speed of the water? how high does the water go?