Gce Model Questions Vol1 2017 Mathematics Question 7

Practice essay / theory question 7 from the 2017 Gce Model Questions Vol1 Mathematics examination. This question covers Quadratic Equations .

Gce Model Questions Vol1 2017 Mathematics Essay / Theory
Topic: Quadratic Equations
Question 7 GCE_MODEL_QUESTIONS_VOL1 • 2017 • MATHEMATICS • essay

A ball is thrown vertically upwards from ground level. Its height (in metres) after t seconds is given by h = -5t^2 + vt, where v is the initial speed in metres per second. The ball passes a window that is 12 m above the ground on its way up and again on its way down. The time interval between the two passages of the ball past the window is 3 seconds. Using this information, determine:

Question Parts

( a )
The quadratic equation that gives the times at which the ball is at a height of 12 m.
( b )
The value of the initial speed v (in m s⁻¹).
( c )
The two instants (in seconds) when the ball is at the height of 12 m.

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About This Question

This is Gce Model Questions Vol1 2017 Mathematics Question 7. It is one of the essay questions from the 2017 Gce Model Questions Vol1 Mathematics examination.

The question covers Quadratic Equations .

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