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 yh. Express the answer as a function of a,g,vo,b and m. (F and v are drage force and velocity vectors respectively)
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 yh. 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 x₁, with respect to origin when the ball reaches the maximum height
Yh. Express the answer as a function of a,g,v.,b and m. (F and v are drage force
and velocity vectors respectively)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F26693fcc-1594-47ca-b396-21789d089205%2Fd4ab104f-34a1-46e5-80de-50fe1834d20f%2F8708y1b_processed.jpeg&w=3840&q=75)
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 x₁, with respect to origin when the ball reaches the maximum height
Yh. Express the answer as a function of a,g,v.,b and m. (F and v are drage force
and velocity vectors respectively)
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