How fast must a cliff diver be running before jumping off the cliff?
Question:
Answer:
The speed required for the cliff diver before jumping off the cliff is 5.87 meters per second. Explanation:Given the following data;
- Height of cliff = 45.1m
- Horizontal distance = 17.8m
We know that acceleration due to gravity is 9.8 m/s². The initial velocity of the cliff diver is 0 m/s.
To find the time taken to reach the water, we would use the second equation of motion;
S = ut + (1/2)at²
Substituting the known values into the equation, we get;
45.1 = 0(t) + (1/2)*9.8*t²
45.1 = 4.9*t²
t² = 45.1 / 4.9
t = √9.204
t = 3.034 seconds
Now, to find the speed required, we use the formula;
Speed = distance / time
Substitute the values into the equation;
Speed = 17.8 / 3.034
Speed = 5.87 m/s
Therefore, the cliff diver must be running at a speed of 5.87 meters per second before jumping off the cliff to ensure a safe landing.