Question

1. a student throws a ball (horizontally) out of a window that is 8.0 m above the ground. another student who was 10.0 m away caught it. what was the initial velocity of the ball?
2. maverick and goose are flying a training mission in their f - 14. they are flying at an altitude of 1500. m and are traveling at 688 m/s (mach 2). they release their bomb and head for home.

a. how long will it be before the bomb hits the ground?
b. how far (on the ground) from where they released it will it land?

Explanation:

Step1: 垂直方向運動分析

根據自由落體公式 \(h = \frac{1}{2}gt^{2}\)，已知 \(h = 8.0m\)，\(g = 9.8m/s^{2}\)，可求出時間 \(t\)。

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Step2: 水平方向運動分析

水平方向為匀速直線運動，公式 \(x = v_{0}t\)，已知 \(x = 10.0m\)，\(t\approx1.28s\)，求初速度 \(v_{0}\)。

$$ v_{0}=\frac{x}{t}=\frac{10.0}{1.28}\approx7.8m/s $$

Answer:

\(7.8m/s\)