Final answer:
The statement is true; to calculate the speed of a pebble dropped from a cliff upon impact, only the height of the cliff and acceleration due to gravity are required.
Step-by-step explanation:
Understanding Pebble Velocity and Acceleration
To determine if the statement 'To calculate the speed of the pebble dropped from the cliff as it hits the ground requires you to only know the height of the cliff and acceleration due to gravity' is true or false, we must consider the principles of physics, particularly kinematics. This statement is true. When an object is dropped from a certain height, and air resistance can be ignored, the only forces acting on the object are due to gravity. According to the physics formula for an object accelerating from rest under gravity:
v = √(2gh)
where v is the final velocity, g is the acceleration due to gravity (approximately 9.81 m/s2 on Earth), and h is the height from which the object is dropped. Therefore, knowing the height of the cliff and using the standard acceleration due to gravity is sufficient to calculate the speed of the pebble as it hits the ground.