Kinematics help - object is dropped from a height h

In summary, the question involves an object being dropped from a height h and striking the ground with a velocity v. The question then asks for the velocity of the object when dropped from a height of 2h, with the correct answer being 1.4v. The relevant equation for solving this problem is $v^{2} = v_{0}^{2} - 2g\Delta y$.
  • #1
GoGoGadget
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Kinematics help -- object is dropped from a height h

Homework Statement


An object is dropped from a height h and strikes the ground with a velocity v. If the object is dropped from a height of 2h, which of the following represents its velocity when it strikes the ground?

A) v

B) 1.4v

C) 2v

D)4v

Homework Equations



Not sure.



The Attempt at a Solution



I thought that velocity in this situation would be represented as 2v, but the answer in my book says the correct answer is B. I wasn't quite sure how to figure that out or what the relevant equation for figuring this problem out might be.
 
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  • #2
Try this equation:
$$v^{2} = v_{0}^{2} - 2g\Delta y$$
 

Related to Kinematics help - object is dropped from a height h

1. What is kinematics?

Kinematics is a branch of physics that deals with the motion of objects without considering the forces that cause the motion.

2. What is meant by "object is dropped from a height h"?

This means that an object is released or let go from a certain height h above the ground, and its motion is solely affected by gravity.

3. How do you calculate the time it takes for an object to hit the ground when dropped from a height h?

The time it takes for an object to hit the ground when dropped from a height h can be calculated using the equation t = √(2h/g), where t is the time, h is the height, and g is the acceleration due to gravity (9.8 m/s²).

4. What is the velocity of an object when it hits the ground after being dropped from a height h?

The velocity of an object when it hits the ground after being dropped from a height h can be calculated using the equation v = √(2gh), where v is the velocity, g is the acceleration due to gravity, and h is the height.

5. How does the mass of an object affect its motion when dropped from a height h?

The mass of an object does not affect its motion when dropped from a height h. All objects, regardless of their mass, will experience the same acceleration due to gravity and will hit the ground at the same time (neglecting air resistance).

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