# A Collection of Elementary Test Questions in Pure and Mixed Mathematics, with Answers

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## Description

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. 1866 edition. Excerpt: ...and they are observed to pass one another at the end of 3 seconds; find the difference of level of the points from which they were projected. 1402. A body is let fall from the top of a vertical cliff 5796 feet high; with what velocity must another body be projected from the same point, vertically upwards, at the same instant, in order that it may strike the base of the cliff four seconds after the first body? 1403. A body runs down a plane inclined at an angle of 30, and then falls over a vertical cliff 150 feet high; find the vertical velocity with which it strikes the ground, the length of the plane being 50 feet. 1404. A sphere, 2 inches in diameter, is let fall from a height of 80-5 feet, and, one second afterwards, another, 1 inch in diameter, is projected vertically downwards from the same point with a velocity of 64-4 feet per second; find the time in which each will reach the ground, the coefficient of elasticity being f. 1405. An arrow shot vertically upwards just reaches the top of a tower; find the height of tbe tower, supposing the time of flight from the bottom to the top to be 2 seconds. 1406. A body is projected with a velocity of 60 feet per second up an inclined plane which makes an angle of 30 with the horizon; what will be its position at the end often seconds-! 1407. An elastic ball is let fall from a height of 10 feet; find the height to which it will rise at the 3rd rebound, supposing the elasticity to be f: and deduce a general expression for the whole space passed over by the ball before it comes to rest. 1408. A railway train is moving with a velocity of 30 miles per hour, and the steam is shut off from the engine at the top of an incline of 1 in 322; find the rate at which the train would be moving after it had passed...show more

## Product details

• Paperback | 78 pages
• 189 x 246 x 4mm | 154g
• United States
• English
• black & white illustrations
• 1236514548
• 9781236514547