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#### 84 cm²

A ball is thrown upward with initial velocity 32 m/s from 20 meters high. When does it hit the ground? (Use $ g = 9.8 \, \text{m/s}^2 $)

Equation: $ h(t) = -4.9t^2 + 32t + 20 $

Set $ h(t) = 0 $: $ -4.9t^2 + 32t + 20 = 0 $

Use quadratic formula: $ t = \frac{-32 \pm \sqrt{32^2 + 4 \times 4.9 \times 20}}{2 \times 4.9} $

Discriminant: $ 1024 + 392 = 1416 $, $ \sqrt{1416} \approx 37.65 $

$ t = \frac{-32 + 37.65}{9.8} \approx 0.68 $ (discard negative root)

More precisely: $ t \approx 6.94 $ seconds

#### 6.94 seconds

The price of a laptop rises by 12% annually due to technology inflation. If it costs $1,200 now, what will it cost in 5 years?

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