Final answer:
The boulder will be going approximately 69.7 m/s when it strikes the ground. A tourist at the bottom will have approximately 100.5 m to get out of the way after hearing the sound of the rock breaking loose.
Step-by-step explanation:
To calculate the speed at which the boulder will be going when it strikes the ground, we can use the equation for free fall:
vf = √(2gh)
where vf is the final velocity, g is the acceleration due to gravity (approximately 9.8 m/s^2), and h is the height of the cliff (250 m in this case).
Substituting the given values into the equation, we get:
vf = √(2 * 9.8 * 250) = ≈ 69.7 m/s
Therefore, the boulder will be going approximately 69.7 m/s when it strikes the ground.
To determine the time a tourist at the bottom will have to get out of the way after hearing the sound of the rock breaking loose, we can use the speed of sound:
d = v * t
where d is the distance, v is the speed of sound (335 m/s), and t is the time.
Assuming a reaction time of 0.300 s, we can calculate the distance:
d = 335 * 0.300 = ≈ 100.5 m
Therefore, a tourist at the bottom will have approximately 100.5 m to get out of the way after hearing the sound of the rock breaking loose.