Velocity and displacement *sigh* Isimple but seems comple

In summary, the maximum height reached by the stone is 20m and the total time taken for it to fall on the ground is 4 seconds. The answer is option 2. The equations needed to solve this question are V = s/t, S = So + Vo*t + (1/2)*a*t^2, and V = Vo + a*t. The stone has an initial velocity of 20m/s and an acceleration of 9.8m/s^2.
  • #1
Lexadis
11
1

Homework Statement


A stone is thrown vertically up with a velocity of 20ms/s. The maximum height reached by the stone and the total time taken by it to fall on the ground are

(1) 20m and 2 s. (2) 20m and 4 s. (3) 40m and 2 s. (4) 40m and 4 s.

Homework Equations


The Attempt at a Solution


V = s/t
V = 20/1 (since the time taken for the stone is 2s to go up and then come falling down, I divided it by 2 and I chose the first answer as it seemed to get my favorable answer)
V = 20m/s.

But according to the scheme it's the second answer and I really don't understand how it can come, providing that even if they are divided you get the velocity 5m/s.
 
Last edited:
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  • #2
S = So + Vo*t + (1/2)*a*t^2
V = Vo + a*t

These are the equations that you need to use where

So = initial distance from origin
Vo = initial velocity
a = acceleration

Thats all you need to know to solve this question
 

1. What is the difference between velocity and displacement?

Velocity is a measure of the rate of change of an object's position, while displacement is a measure of the distance and direction an object has moved from its starting point to its ending point.

2. How are velocity and displacement related?

Velocity and displacement are related because displacement is the change in an object's position over a specific time period, and velocity is the rate at which that change occurs.

3. How is velocity calculated?

Velocity is calculated by dividing the change in an object's position (displacement) by the time it took for that change to occur. In other words, velocity = displacement/time.

4. Why is velocity sometimes referred to as a vector quantity?

Velocity is sometimes referred to as a vector quantity because it has both magnitude (speed) and direction. This is important because an object's velocity can change even if its speed remains the same, as long as the direction of motion changes.

5. How does velocity affect an object's motion?

Velocity is a crucial factor in determining an object's motion. A higher velocity means the object is moving faster, while a lower velocity means the object is moving slower. Additionally, the direction of velocity can affect the path an object takes.

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