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Find the unit tangent vector, the unit normal vector, the curvature and the radius of curvature of the circle x= a cos theta, y= a sin theta, z=0 at point with parameter theta.

A man drives a car a distance of 200km at an average speed of 44km/hr what must be his average speed for the next 220km if he is to cover the total distance in 9 hours


A train start from rest accelerates uniformly so that it attain a speed of 400-1 in 20s. It Travel at this speed for 40s and is then brought to rest with uniform retardation after 30s




What is the



The total distance covered



The retardation of the train

Thank you for your information about that question, but may I ask how you got the numbers 22.22 and 6.67? thank you!!!


Consider a thermodynamic system consisting of 3 mol of an ideal gas occupying 0.03m volume at 300k temperature determine its initial pressure for this gas delta=1.4 it undergoes the following process

You are testing a new amusement park roller coaster with an empty car with a mass of 110 kg

kg . One part of the track is a vertical loop with a radius of 12.0 m

m . At the bottom of the loop (point A

A) the car has a speed of 25.0 m/s

m/s and at the top of the loop (point B

B) it has speed of 8.00 m/s

m/s .


A block attached to a spring is made oscillate with initial amplitude of 8.0 cm after 2.2 minutes, the amplitude decrease to 5.0 cm calculate

Derive an expression for the logarithmic decrement of a damped oscillator

Two masses mA = 2.8 kg and mB = 6.2 kg are on inclines and are connected together by a string as shown in the figure. 

Ignore masses of the frictionless pulley and the cord.


The coefficient of kinetic friction between each mass and its incline is μk=0.34. If mA moves up, and mmoves down, determine their acceleration.


Two particles come towards each other with speed 0.9c with respect to laboratory. Calculate their relative speeds.

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