How Far Does a Boulder Travel Rolling Downhill with Constant Acceleration?

So the correct equation would be d = 0 + 0.5(3.69)(7.72)^2 = 107.99mIn summary, the boulder will move 107.99 meters down the hill in 7.72 seconds with an acceleration of 3.69m/s².
  • #1
Doraneli
1
0
1. A boulder initially at rest rolls down a hill with an acceleration of 3.69m/s^2. If it accelerates for 7.72 seconds, how far will it move?


2. d=v0(initial velocity)t+.5at^2



3. d=(0)(7.72)+.5(-9.8)(3.27)^2
-39.24+-52.4
-91.64m

 
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  • #2
Doraneli said:
1. A boulder initially at rest rolls down a hill with an acceleration of 3.69m/s^2. If it accelerates for 7.72 seconds, how far will it move?


2. d=v0(initial velocity)t+.5at^2



3. d=(0)(7.72)+.5(-9.8)(3.27)^2

Why is t= 7.72 in the first term and 3.27 in the second?

-39.24+-52.4
Where did the "-39.24" come from? And why the "+-" for the second term?

-91.64m
 
  • #3
You are using the correct equation, but your values for 'a' and 't' are wrong.
The acceleration of the ball is given to you in the question, so you don't need to use 9.81m/s². And also the time stated in the question is 7.72s.
 

FAQ: How Far Does a Boulder Travel Rolling Downhill with Constant Acceleration?

What is constant acceleration?

Constant acceleration is the rate at which the velocity of an object changes over time, while the direction of the object's motion remains constant. It can be represented by the formula a = Δv/Δt, where a is the acceleration, Δv is the change in velocity, and Δt is the change in time.

What is the difference between constant acceleration and uniform acceleration?

Constant acceleration refers to a situation where the acceleration remains the same throughout the motion, while uniform acceleration refers to a situation where the acceleration is constant and remains the same in both magnitude and direction.

How is constant acceleration calculated?

Constant acceleration is calculated using the formula a = Δv/Δt, where a is the acceleration, Δv is the change in velocity, and Δt is the change in time. In other words, it is the change in velocity divided by the change in time.

What are some examples of constant acceleration?

Some examples of constant acceleration include an object falling freely under the influence of gravity, a car accelerating at a constant rate, and a rocket launching into space. In all of these situations, the acceleration remains constant throughout the motion.

How does constant acceleration affect an object's motion?

Constant acceleration causes an object's velocity to change at a constant rate. This means that the object's speed increases or decreases by the same amount every second. As a result, the object's motion becomes more predictable and easier to analyze.

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