Finding time with distance, initial velocity and acceleration

In summary, a stone is dropped from a tall building and accelerates at a rate of 9.81m/s^2. The problem asks for the time it takes for the stone to pass a window that is 2.0m high, with the top of the window located 20.0m below the starting point of the stone. The initial velocity when the stone reaches the window is 19.81m/s. Using the equation d=Vot+1/2at^2, we can solve for t by plugging in the given values and setting the equation equal to 0.1=t+(4.9m/s^2)t^2. The final answer is 0.1 seconds.
  • #1
Justin Che
1
0

Homework Statement


A stone is dropped from the top of a tall building. It accelerates at a rate of 9.81m/s^2. How long will the stone take to pass a window that is 2.0m high, if the top of the window is 20.0m below the point from which the stone was dropped?

I've already solved the initial velocity when it reached to the window which is 19.81m/s.
So what i needed to solve now is the time when it pass the window that is 2m high.

vi=19.81m/s
d=2M
a=9.81m/s^2
t=?

Homework Equations


d=Vot+1/2at^2

The Attempt at a Solution


d=Vot+1/2at^2
2m=19.81m/s(t)+(0.5x9.81m/s^2)t^2
0.1=t+(4.9m/s2)t^2
0.02=t+t^2

The answer is 0.1s, but I am having trouble finding the right answer.
 
Last edited:
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  • #2
Hi Justin Che. Welcome to Physics Forums.

You need to make an attempt before help can be given. Your relevant equation looks promising...
 

1. How do you find the time with distance, initial velocity and acceleration?

The time can be calculated using the formula t = (vf - vi) / a, where vf is the final velocity, vi is the initial velocity, and a is the acceleration.

2. What units should be used when finding time with distance, initial velocity and acceleration?

The units for distance should be consistent with the units of acceleration. For example, if distance is measured in meters, then acceleration should be in meters per second squared. The units for initial velocity and final velocity should also be consistent with each other and with the units for distance.

3. Can the time be negative when using distance, initial velocity and acceleration?

No, the time calculated using these parameters cannot be negative. Negative time values do not make sense in this context.

4. How does the initial velocity affect the time when using distance, initial velocity and acceleration?

The initial velocity does not directly affect the time, but it is used in the calculation of the final velocity. The final velocity then affects the time through the formula t = (vf - vi) / a. A higher initial velocity will result in a shorter time, as the object will reach its final velocity faster.

5. Is there a difference in finding time with distance, initial velocity and acceleration in different types of motion?

Yes, the formula for finding time will vary depending on the type of motion. For example, for constant acceleration, the formula is t = (vf - vi) / a. But for non-constant acceleration, the formula is more complex and requires calculus. It is important to correctly identify the type of motion in order to use the correct formula and solve for time accurately.

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