Activity Questions 3.4
Question 1
A stone is thrown with an initial speed u (m/s) as shown in figure 3. The height of the stone’s trajectory above the ground is $H(t) = -5t^2 + \frac{1}{2}ut$ (where t is the time of flight). If the highest point in air that the stone can reach is 5m above the ground, then calculate the initial speed u.
The question includes a diagram showing the parabolic trajectory of the stone reaching a maximum height of 5 meters.
Multiple choice options:
- 20 m/s
- 10 m/s
- 12 m/s
- 2 m/s
Solution
Solution
Solution
All three questions focus on quadratic equations and their applications - the first involving projectile motion physics, while the second and third involve finding roots of quadratic equations using algebraic methods.
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