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Chapter 3
Falling Objects and
Projectile Motion

Gravity influences motion in a particular way.

How does a dropped object behave?
!Does the object accelerate, or is the speed constant?
!Do two objects behave differently if they have:
!different masses?
!different shapes?

Acceleration Due to
Gravity
" Earth exerts a gravitational force on objects

that is attractive (towards Earth’s surface).
" Near Earth’s surface, this force produces a constant acceleration downward.
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To measure this acceleration, we need to slow down the action.
Galileo was the first to accurately measure this acceleration due to gravity.
By rolling objects down an inclined plane, he slowed the motion enough to establish that …show more content…

The velocity-versus-time graph for a certain falling object is shown.
Is the acceleration of this object constant? a)
b)
c)

Yes.
No.
Impossible to tell from this graph.

Constant acceleration would require the v vs. t curve to be a straight line. This graph is curving upward, so the slope
(and the acceleration) is increasing. Throwing a ball downward " Let the ball be thrown downward

instead of being dropped.

It will have a starting velocity different from zero. # It will reach the ground more rapidly.
# It will have a larger velocity when it reaches the ground. v = v 0 + at
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1 2 d = v 0 t + at
2

Beyond Free Fall:
Throwing a Ball Upward
! What if the ball is thrown

upward?

Gravitational acceleration is always directed downward, toward the center of the Earth.
! Here, the acceleration is in the opposite direction to the original upward velocity.
!

" Let the initial velocity be 20

m/s upward.
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It immediately starts experiencing a downward acceleration due to gravity, of approximately 10 m/s.
Every second, the velocity decreases by 10 m/s.

" After 2 s, the ball has reached

its highest point.
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Its velocity changes direction, from upward to downward, passing through a value of 0 m/s. " Now, the downward

acceleration increases the downward velocity.

What is the ball’s acceleration at the top of its

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