can you give me a solution of free fall physics?
Answer (1)
**Problem:** An object is dropped from a height of 80 meters. How long will it take to reach the ground? (Assume no air resistance and use \( g = 9.8 \, \text{m/s}^2 \))---**Solution:**We use the formula for free fall: \[d = \frac{1}{2}gt^2\]Where: - \( d = 80 \, \text{m} \) (distance) - \( g = 9.8 \, \text{m/s}^2 \) (acceleration due to gravity) - \( t = ? \) (time)Now plug in the values:\[80 = \frac{1}{2}(9.8)t^2\]\[80 = 4.9t^2\]\[t^2 = \frac{80}{4.9} \approx 16.33\]\[t \approx \sqrt{16.33} \approx 4.04 \, \text{seconds}\]---**Answer:** It will take approximately **4.04 seconds** to reach the ground.Let me know if you want a harder example or one with velocity!
