Acceleration and displacement question?

In summary, the question is about finding the initial distance of a turtle that is moving with constant acceleration. Using the formula V^2 = V(initial)^2 + 2a(displacement), we can solve for the value of acceleration. However, the provided formula is incorrect and the correct formula is V^2 = (V(initial))^2 + 2a(displacement).
  • #1
odie
4
0
acceleration and displacement question?

a turtle is moving with a constant acceleration along a straight ditch. a person starts a stopwatch as the turtle passes a fence post and notes that it takes him 10s to reach a pine tree 10m farther along a ditch. as the turtle passes the pine tree, his speed is 1.2m/s.

how far was he from the fence post when he started from rest??
 
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  • #2


we know this equation:
V^2 = V(initial)^2 + 2a(displacement)

V initial = 1.2-10a

I think you can solve the rest of the problem. There might be a nicer solution to this, but this is the best I got.
 
  • #3


That's the wrong formula. You are not given a value for acceleration. You are given a value for time.
 
  • #4


1.2^2 = (1.2-10a)^2 + 20a

Solve for a.
 

Related to Acceleration and displacement question?

1. What is acceleration?

Acceleration is the rate of change of an object's velocity over time. It is a vector quantity, meaning it has both magnitude (speed) and direction.

2. How is acceleration calculated?

Acceleration is calculated by dividing the change in velocity by the change in time. The formula for acceleration is a = (vf - vi)/t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is time.

3. What is the difference between average and instantaneous acceleration?

Average acceleration is the change in velocity over a certain period of time, while instantaneous acceleration is the acceleration at a specific moment in time. Average acceleration is calculated by dividing the total change in velocity by the total change in time, while instantaneous acceleration is calculated by taking the derivative of the object's velocity function.

4. How does acceleration affect displacement?

Acceleration affects displacement by determining how quickly an object's velocity changes. The greater the acceleration, the faster the object's velocity changes, resulting in a larger displacement over time. Acceleration also affects the direction of an object's motion, which can result in changes in displacement.

5. What is the relationship between acceleration and force?

According to Newton's Second Law of Motion, the acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to its mass. This means that the greater the force acting on an object, the greater its acceleration will be. Additionally, the direction of the acceleration is in the same direction as the net force acting on the object.

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