16. A boy spotted a bird on top of a VRA low tention wire. He shot an arrow straight up to hit the bird at an initial speed of 15.0 𝘮/𝘴. If the arrow misses the bird, after how much time is it moving downward at a speed of 8.00 𝘮/𝘴?
Question
- A boy spotted a bird on top of a VRA low tention wire. He shot an arrow straight up to hit the bird at an initial speed of 15.0 𝘮/𝘴. If the arrow misses the bird, after how much time is it moving downward at a speed of 8.00 𝘮/𝘴?
Solution
To solve this problem, we need to use the equations of motion.
The equation we will use is v = u + at, where:
- v is the final velocity
- u is the initial velocity
- a is the acceleration
- t is the time
Given in the problem:
- v = -8.00 m/s (the negative sign indicates downward direction)
- u = 15.0 m/s
- a = -9.8 m/s² (acceleration due to gravity, negative because it's acting downward)
We need to find t.
Substituting the given values into the equation:
-8.00 m/s = 15.0 m/s + (-9.8 m/s²) * t
Solving for t:
t = (-8.00 m/s - 15.0 m/s) / -9.8 m/s²
t = 23.0 m/s / 9.8 m/s²
t = 2.35 s
So, the arrow is moving downward at a speed of 8.00 m/s after 2.35 seconds.
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