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Find the curl of the function r= xi+yj over x+y


A car is stopped at a traffic light. It then travels along a straight road such



that its distance from the light is given by:



𝑥(𝑡) = 2.4𝑡



2 − 0.120𝑡



3

The take-off velocity of a small jet plane on a straight runway is 55 ms. If the average acceleration of the plane during take-off is 2.2 ms^2, calculate the time the plane will take to reach its take-off velocity.


Two objects of equal masses collide head-on while moving in the opposite direction and joined together. Show that the fractional loss of original kinetic energy of the objects is given by the expression; E=1/2+V1V2/V1²+V2²

a= 4i-2j-3k. b = 2i-j+6k. c=3i+j+k. Calculate 1). a+b+c. 2). a-b+2c. 3). do such that 2a-3b+D=0. 4). a.(b*c). 5). a*(bxc) 5). The angle between the vectors, a and b.

Calculate it's average speed



The specific weight of glycerin is 78.6 lb/ft3 . Compute its density and specific gravity. What is its specific weight in kN/m3 ?


if the hill is 50 m high, can it supply water


to the top floor of a 100-m tall office building? If


not, how does water get to that floor?


Find the tension in the horizontal part of the supporting cable, and the compression in the boom, elevated to 25.0° , of the crane that lifts a 8900. N load.

A rigid plank 5.00 m long has mass 30.0 kg and supports a 75.0 kg block 2.00 m from the left end. How much force is needed to support each end of the plank?

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