Sponge - A golf ball rebounds from the floor and travels straight upward with an initial speed of 5.0 m/s. To what maximum height does the ball rise?

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Sponge - A golf ball rebounds from the floor and
travels straight upward with an initial speed of
5.0 m/s. To what maximum height does the ball
rise?
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In curved motion, displacement is still the
straight line from the starting point to the
final location. This displacement might not be
representative of the actual direction of
velocity during the motion of the object.
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Instantaneous velocity and instantaneous
acceleration can be found for an object by
finding the components of the instantaneous
vector.
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In these situations of two-dimensional motion the
x part of the motion occurs exactly as it would
if the y part did not exist at all, and vice
versa.
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Ex. 1 - In the x direction, a spacecraft has an
initial velocity component of v0x 22 m/s and
an acceleration component of ax 24 m/s2. In
the y direction, v0y 14 m/s and ay 12
m/s2. Right and upward are positive. After a
time of 7.0 s, find (a) x and vx, (b) y and vy,
and (c) the final velocity of the spacecraft.
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In projectile motion, the vx is constant (vx
v0x), ax 0. But vy changes because of the
acceleration due to gravity ay 9.80 m/s2
usually.
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Ex. 2 - An airplane flies horizontally with a
constant velocity of 115 m/s at an altitude of
1050 m. The plane releases a care package that
falls to the ground along a curved trajectory.
Ignoring air resistance, determine the time
required for the package to hit the ground.
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Ex. 3 - Find the velocity of the package just
before the it hits the ground.
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Ex. 5 - A placekicker kicks a football at an
angle of ? 40.0 above the horizontal axis.
The initial speed of the ball is v0 22 m/s.
Find the maximum height H that the ball attains.
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Ex. 6 - Determine the time of flight of the
football between kickoff and landing.
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Ex. 7 - Calculate the range R of the kickoff.
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Ex. 8 - A baseball player hits a home run, and
the ball lands in the left-field seats, 7.5 m
above the point at which the ball was hit. The
ball lands with a velocity of 36 m/s at an angle
of 28 below the horizontal . Find the initial
velocity with which the ball leaves the bat.
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