Question
Asked Sep 15, 2019
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A baseball was hit with a speed of 30m/s at an angle of 45 degrees. It lands on the flat roof of a 13.0 m tall nearby building.

If the ball was hit when it was 1.0 m above the ground, what horizontal distance does it travel before it lands on the building?

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Expert Answer

Step 1

The velocity along the x and y axis are

и, —исos@
(30m/s) cos 45°
21.21m/s
и, %3Du sin @
У
=(30m/s)sin 45°
-21.21m/s
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и, —исos@ (30m/s) cos 45° 21.21m/s и, %3Du sin @ У =(30m/s)sin 45° -21.21m/s

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Step 2

The kinematic equation for the displacement in the y direction is

1
at
2
1
,=50y++-g)
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1 at 2 1 ,=50y++-g)

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Step 3

Substitute the given values ...

13m -lm +(21.21m/3)t (9.8m/s)r
0-(4.9m/s)r-(21.21m/s) +12 m
(9.8m/s2)r
2
t =3.66s
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Image Transcriptionclose

13m -lm +(21.21m/3)t (9.8m/s)r 0-(4.9m/s)r-(21.21m/s) +12 m (9.8m/s2)r 2 t =3.66s

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Physics

Kinematics

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