You are throwing a ball with an initial speed of 20 m/s and an angle of 60 degre

Question

You  are  throwing  a  ball  with  an  initial  speed  of  20  m/s  and  an angle of 60 degrees with respect to the vertical. The field you are playing on is however not horizontal but is inclined by an angle of10 degrees with respect to the horizontal. a) How far on the field does the ball land? b) How long was it in the air? c) What is its final velocity right before impact at landing? d) What  is  the  maximum  height  of  the  ball,  as  measured  with respect to the horizontal? You  are  throwing  a  ball  with  an  initial  speed  of  20  m/s  and  an angle of 60 degrees with respect to the vertical. The field you are playing on is however not horizontal but is inclined by an angle of10 degrees with respect to the horizontal. a) How far on the field does the ball land? b) How long was it in the air? c) What is its final velocity right before impact at landing? d) What  is  the  maximum  height  of  the  ball,  as  measured  with respect to the horizontal?

Explanation / Answer

a) horizontal range = v ^2 sin(2theta) / g = 20 *20 sin(60) / 10 = 20*3^(0.5) m

b) time of filight = 2v sin(theta) / g = 2*20 * sin(30) / 10 = 2 s

c) final velocity = initial velocity = 20 m/s

d) Maximum height = v^2 (sin(theta))^2 / g = 20*20 * sin(30)^2 / 10 = 10 m

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