Sinopsis
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1862 Excerpt: ...what is the height of the bridge? Also, if the stone be projected downwards with a velocity of 3 feet per second, in what time will it strike the water? 12. Two balls are projected at the same instant towards each other, from the two extremities of a vertical line, each with the velocity which would be acquired in falling down it. Where will they meet? 13. A falling particle is observed to describe in the nth second of its fall a space equal to p times that described in the n required the whole space described. 14. A particle is projected vertically upwards, and the time between its leaving a given point and returning to it again is given; find the velocity of projection and the whole time of motion. 15. If ax be the measure of a uniform acceleration when t minutes and a, feet are the units of time and space, a2 the measure of the same acceleration when o2 feet is the unit of space, find the number of minutes in the unit of time. 16. What is the numerical measure of the acceleration of a falling particle, taking an inch as the unit of space, and a quarter of a second as that of time? 17. In what time will a force, which can support a weight of 5 lbs. move a mass of 10 lbs. weight through a space of 50 feet on a smooth horizontal plane? 18..A point, moving with uniform acceleration, describes 20 feet in the half second which elapses after the first second of its motion; compare its acceleration witli that of a falling heavy particle; and give, its numerical measure taking a minute as the unit of time, and a mile as that of space. 19. If P--mol, be the relation between the pressure,mass, and acceleration, find the unit of time, when that of space is two feet, and that of pressure the weight of a unit of mass. 20. If a quarter of a second be the unit of time, ...
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Reseña del editor
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1862 Excerpt: ...what is the height of the bridge? Also, if the stone be projected downwards with a velocity of 3 feet per second, in what time will it strike the water? 12. Two balls are projected at the same instant towards each other, from the two extremities of a vertical line, each with the velocity which would be acquired in falling down it. Where will they meet? 13. A falling particle is observed to describe in the nth second of its fall a space equal to p times that described in the n required the whole space described. 14. A particle is projected vertically upwards, and the time between its leaving a given point and returning to it again is given; find the velocity of projection and the whole time of motion. 15. If ax be the measure of a uniform acceleration when t minutes and a, feet are the units of time and space, a2 the measure of the same acceleration when o2 feet is the unit of space, find the number of minutes in the unit of time. 16. What is the numerical measure of the acceleration of a falling particle, taking an inch as the unit of space, and a quarter of a second as that of time? 17. In what time will a force, which can support a weight of 5 lbs. move a mass of 10 lbs. weight through a space of 50 feet on a smooth horizontal plane? 18..A point, moving with uniform acceleration, describes 20 feet in the half second which elapses after the first second of its motion; compare its acceleration witli that of a falling heavy particle; and give, its numerical measure taking a minute as the unit of time, and a mile as that of space. 19. If P--mol, be the relation between the pressure,mass, and acceleration, find the unit of time, when that of space is two feet, and that of pressure the weight of a unit of mass. 20. If a quarter of a second be the unit of time, ...
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