A football player launches a ball of mass m from the origin (0,0) with an initial speed v, with at an angle a above the horizontal. The ball lands on the ground at (d,0). Neglecting the drag, a) find out the expression of v, in terms of a and d. b) if d=45m, and a=45°, find out the total time of flight. c) Now consider drag force, F=-bv with b-constant, find a formula of the horizontal distance travelled by the ball x₁ with respect to origin when the ball reaches the maximum height yn. Express the answer as a function of a,g,vo,b and m. (F and v are drage force and velocity vectors respectively)

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A football player launches a ball of mass m from the origin (0,0) with an initial speed v, with at an angle a above the
horizontal. The ball lands on the ground at (d,0). Neglecting the drag, a) find out the expression of v, in terms of a and
d. b) if d=45m, and a=45°, find out the total time of flight. c) Now consider drag force, F=-bv with b=constant, find a
formula of the horizontal distance travelled by the ball x with respect to origin when the ball reaches the maximum
height yn. Express the answer as a function of a,g,vo,b and m. (F and v are drage force and velocity vectors
respectively)
BIU
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Transcribed Image Text:A football player launches a ball of mass m from the origin (0,0) with an initial speed v, with at an angle a above the horizontal. The ball lands on the ground at (d,0). Neglecting the drag, a) find out the expression of v, in terms of a and d. b) if d=45m, and a=45°, find out the total time of flight. c) Now consider drag force, F=-bv with b=constant, find a formula of the horizontal distance travelled by the ball x with respect to origin when the ball reaches the maximum height yn. Express the answer as a function of a,g,vo,b and m. (F and v are drage force and velocity vectors respectively) BIU Next Type here to search @ 4- W F A+ # 3 E X $ 4₹ R LI E I % 5 + G 6 Y ER MC Ty FB & 7 Σ U 24°C Rain showers a 00 * 8 * ( 9 K FLI 0 Home 11 End + 11 M ENG 01:44 US 16-07-2022 Insert 5 Dele Bac
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