MATH 1090 Algebra and Trigonometry
Problem Set 3 - Questions

1. Determine whether the following equations are an identity, a conditional equation or an inconsistent equation and find the solution (where possible).
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2. Today Abraham is three times the age of Zoe.   In 20 years' time, Abraham is twice the age of Zoe.   How old are Abraham and Zoe today?

3. Solve the quadratic equations
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4. Solve
   Check your proposed solution.

5. Solve
   Check your proposed solution.

6. Solve

7. Challenge Question
   

   An elementary particle known as a mu-mesons is created when cosmic rays hit the top of our atmosphere.   They decay at rest in the time it takes light to travel only th of the way down to sea level.   Yet these particles are ovserved at sea level.

   Use Einstein's time dilation formula
   

   
   to find the speed v, as a percentage of the speed of light c, at which the mu-mesons must travel in order for their decay time as measured by us to be dilated by a factor of 7.

8. Solve these inequalities and graph the solution set on a number line.
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9. A projectile is fired from the ground into the air with an initial upward speed of 100 ms^-1.   Assume that air resistance is neglibable.    How long will the projectile be in the air bfore it returns to the ground?

   Note: to a good approximation, the vertical displacement g travelled upwards is related to the time elapsed t by
   

Also:   Try the questions from exercise sets 1.1 to 1.6 of the textbook.

[Index of Questions]

[Problem Set & Quiz Solutions]