# 12 suppose a ball thrown upward from the ground with

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12. Suppose a ball thrown upward from the ground with initial velocity of 96 ft/s reaches a height   h t after time t s. the height is expressed by the quadratic equation   2 96 16 h t t t ,ft. find the time t in seconds when   80 h t ft. 13. A cable suspended from two pylons 100 m apart, takes the form of the curve, 2 /100 45 y x where y is the height in metres above the ground of a point P on the cable, and x is the horizontal distance in metres of P from the lowest point of the cable. Find the horizontal distance when 84 y m. 14. A projectile rises to a height of h m in t s given by 2 400 16 h t t .find; (i) The maximum height to which the projectile rises, (ii) The time to the maximum height, (iii) The times at which the projectile is at a height of 1200m. 15. Two resistors are in parallel, like in this diagram: The total resistance has been measured at 2 ohms, and one of the resistors is known to be 3 ohms more than the other. What are the values of the two resistors?

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