What Is Jack's Initial Velocity When He Fell?

In summary, Jack fell down a hill with an acceleration of 0.65 m/s^2 and rolled 11m in 3.7s. To find the initial velocity, the equation v2 = at + v1 can be used. When solving for v1, a negative answer is obtained, which suggests that Jack was moving in the opposite direction when he fell.
  • #1
SoConfused__
23
0

Homework Statement


Jack went up a hill to fetch water. Jack fell down and rolled down the hill accelerating at 0.65 m/s^2 down. If he rolled 11m down the hill in 3.7s, with what velocity was he moving when he fell?


Homework Equations


a = v2 - v1/t
v2 = at + v1


The Attempt at a Solution


(0.65m/s^2)(3.7s) + 11
= 13.5 m/s.

I solved for v2, the velocity when he reached the bottom of the hill.
However the answer says 1.8m/s.
What am I doing wrong? Am I supposed to be looking for something else, not v2?
Even if I solved for v1, I would get a negative answer.

As usual, I am so confused.
 
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  • #2
try this
[tex]R(t) = \frac{1}{2}at^2+v_it+R_i[/tex]
[tex]v_i = \frac{R(t) - \frac{1}{2}at^2-R_i}{t}[/tex]
 
  • #3
That confuses me even more. What does R stand for?
 
  • #4
SoConfused__ said:

Homework Statement


Jack went up a hill to fetch water. Jack fell down and rolled down the hill accelerating at 0.65 m/s^2 down. If he rolled 11m down the hill in 3.7s, with what velocity was he moving when he fell?


Homework Equations


a = v2 - v1/t
v2 = at + v1


The Attempt at a Solution


(0.65m/s^2)(3.7s) + 11
what's that 11, that's a length unit, not a speed unit.
I solved for v2, the velocity when he reached the bottom of the hill.
However the answer says 1.8m/s.
What am I doing wrong? Am I supposed to be looking for something else, not v2?
you are supposed to be looking for the initial velocity when he fell.
Even if I solved for v1, I would get a negative answer.
and what would the negative sign imply?
 

FAQ: What Is Jack's Initial Velocity When He Fell?

What is the definition of acceleration?

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

How do you calculate acceleration?

Acceleration can be calculated by dividing the change in an object's velocity by the time it takes for that change to occur. The equation for acceleration is a = (vf - vi) / t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is time.

What is the difference between acceleration and velocity?

While both acceleration and velocity involve an object's change in position over time, acceleration specifically refers to the change in an object's velocity, while velocity refers to an object's speed and direction of motion.

How does acceleration relate to Newton's laws of motion?

Acceleration is related to Newton's Second Law of Motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. In other words, the greater the force acting on an object, the greater its acceleration will be.

What are some real-life examples of acceleration?

There are many examples of acceleration in our everyday lives. Some common examples include a car accelerating from a stop, a baseball being thrown, or a roller coaster moving down a steep drop. Any time an object's speed or direction of motion changes, acceleration is involved.

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