A Child throws a ball vertically upwards, then catches it

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In summary, the problem involves calculating the total time of flight and maximum height of a ball thrown upward with an initial velocity of 10m/s and acceleration due to gravity of 9.8m/s^2. The equations used are v=u+at and x=vt-1/2at. The initial velocity is not zero because it refers to the velocity of the ball while in the air, not while being thrown or after it hits the ground.
  • #1
lasisdabomb
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Homework Statement


Taking the intial velocity to be 10.0 m/s, g to be 9.8m/s2 and ignoring effects of air calculate:
-the total time of flight of the ball
-the maximum height it reaches

variables:
u=10
a=9.8

Homework Equations


v=u+at
x=vt-1/2at

The Attempt at a Solution


I've recently switched to Physics at school and I'm unsure about this question. Why isn't the intial velocity zero if it is being thrown up?
 
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  • #2
lasisdabomb said:

Homework Statement


Taking the intial velocity to be 10.0 m/s, g to be 9.8m/s2 and ignoring effects of air calculate:
-the total time of flight of the ball
-the maximum height it reaches

variables:
u=10
a=9.8

Homework Equations


v=u+at
x=vt-1/2at

The Attempt at a Solution


I've recently switched to Physics at school and I'm unsure about this question. Why isn't the intial velocity zero if it is being thrown up?

Because the problem says the initial velocity upward is 10m/s. Why do you think it should be zero?
 
  • #3
Take your hand and pick up a ball.
Turn your hand over, so that the ball is resting in your palm.
Relax your fingers.
This is a ball with a zero vertical velocity. :wink:
 
  • #4
lasisdabomb said:
Why isn't the intial velocity zero if it is being thrown up?
When problems about trajectories refer to initial and final velocities, they mean the initial and final velocities while in the air. The velocity whilst still in the hand or after hitting the ground are not apropriate because in those phases there are forces other than gravity (and air resistance) acting.
 

1. What is the motion of the ball when a child throws it vertically upwards?

The motion of the ball when thrown vertically upwards is called projectile motion. This means that the ball moves in a curved path, with an initial upward velocity and then a downward acceleration due to gravity.

2. How does the height the ball is thrown affect its motion?

The height at which the ball is thrown affects how high it will go and how long it will stay in the air. The higher the initial height, the higher the ball will go and the longer it will take to come back down.

3. Does air resistance affect the motion of the ball?

Yes, air resistance does affect the motion of the ball. As the ball moves through the air, it experiences a force in the opposite direction of its motion due to air resistance. This can cause the ball to slow down and affect its trajectory.

4. What happens to the velocity of the ball as it rises and falls?

As the ball rises, its velocity decreases due to the force of gravity pulling it downwards. At the highest point, the velocity is momentarily zero. As the ball falls, its velocity increases due to the acceleration of gravity pulling it back towards the ground.

5. How does the mass of the ball affect its motion?

The mass of the ball does not affect its motion when thrown vertically upwards. The only factors that affect its motion are the initial velocity and the force of gravity. However, a heavier ball may experience more air resistance and therefore have a slightly different trajectory compared to a lighter ball.

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