A placekicker kicks a football at an angle of 42.0? above the horizontal axis wi

Question

A placekicker kicks a football at an angle of 42.0? above the horizontal
axis with an initial speed of 23.0 m/s. Ignore air resistance.
(5) What is the maximum height that the ball attains?
(A) 10.3 m; (B) 11.2 m; (C) 12.1 m; (D) 13.0 m; (E) 14.9 m.
(6) What is the time of flight between kickoff and landing?
(A) 2.05 s; (B) 3.14 s; (C) 4.23 s; (D) 5.32 s; (E) 6.41 s.
(7) What is the range reached by the ball between kickoff and landing?
(A) 25.3 m; (B) 41.4 m; (C) 34.5 m; (D) 62.6 m; (E) 53.7 m.
(8) What is the direction of the velocity of the ball 2.00 s after kickoff
(+ for an angle above and ? for an angle below the horizontal)?
(A) ?13.8?; (B) 14.7?; (C) 19.6?; (D) ?18.5?; (E) 16.4?.

Explanation / Answer

5) (c) H=u2Sin2/2g
6) (b) T=2uSin/g
7) (e) S=u2sin(2)/g
8) (a) Horizontal component of velocity = 23cos42, which remains unaltered throughout the flight.

Vertical component of velocity = +23sin42 m/s

time =2 sec

acc=-9.8 m/s2

vertical velocity after 2 sec = 23Sin42-9.8*2 .

Angle with the horizontal = tan-1(23Sin42-9.8*2/23cos42) = -13.8

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