Lana Elcic said:Homework Statement
A rock is thrown straight down with an initial velocity of 10.5 m/s from the Verrazano Narrows Bridge in New York City. The roadway of this bridge is 70 m above water. Take upwards to be the positive direction.
Calculate the displacement and velocity at a time of 1.0 s.
The attempt at a solution
-5.6
C. Lee said:So what is your question?
Can you give some more details on how you ended up with that answer?
Lana Elcic said:I've figured out the displacement by (10.5)(1)+(1/2)(9.8)(1.0)^2=-15.4
I don't know how to find velocity though.
C. Lee said:Alright.
So, you have used the gravitational acceleration 9.8m/s^2 to calculate the displacement.
What is the definition of acceleration?
Right. So the acceleration is constant, and you are given with initial velocity. You can now calculate the velocity at t = 1.0 s.Lana Elcic said:rate of change of velocity
C. Lee said:Right. So the acceleration is constant, and you are given with initial velocity. You can now calculate the velocity at t = 1.0 s.
Free fall is the motion of an object falling towards the ground under the sole influence of gravity. It is the only force acting on the object, causing it to accelerate towards the ground at a constant rate.
The acceleration of an object in free fall is approximately 9.8 meters per second squared, also known as the acceleration due to gravity. This value is constant and does not depend on the mass or size of the object.
Air resistance, also known as drag, can slow down the acceleration of an object in free fall. As the object falls, air molecules collide with it, creating a force that opposes the motion of the object. The larger the surface area of the object, the greater the air resistance and the slower the acceleration.
Terminal velocity is the maximum velocity that an object can reach while falling. It occurs when the force of air resistance is equal to the force of gravity, resulting in a net force of zero and a constant velocity. This is why objects like skydivers or parachutes eventually stop accelerating and reach a steady speed while falling.
Yes, free fall can occur in a vacuum as long as there is no air resistance. In a vacuum, there is no air to slow down the acceleration of an object, so it will continue to accelerate towards the ground at a constant rate due to gravity.