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fisica1-youn-e-freedman-exercicios-resolvidos

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3.16: a) Solving Eq. (3.18) with y = 0,<br />

y = 0<br />

0.75m<br />

gives t = 0.391s<br />

.<br />

b) Assuming a horizontal tabletop, v 0 , and from Eq. (3.16),<br />

v ( ) /<br />

x<br />

= x − x0 t 3.58m s .<br />

0<br />

=<br />

0 y<br />

=<br />

c) On striking the floor, = −gt<br />

= − 2gy0 = −3.83m s , and so the ball has a velocity<br />

v y<br />

of magnitude 5 .24m s , directed 46 .9°<br />

below the horizontal.<br />

d)<br />

Although not asked for in the problem, this y vs. x graph shows the trajectory of the<br />

tennis ball as viewed from the side.<br />

2<br />

3.17: The range of a projectile is given in Example 3.11, = v sin α g .<br />

2<br />

R<br />

0<br />

2<br />

0<br />

2<br />

2<br />

a) (120 m s) sin110° (9.80 m s ) = 1.38 km .b) (120 m s) sin110° (1.6 m s ) = 8.4 km .<br />

2

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