10 points alice stands on a hill inclined theta degrees above the horizontal she kicks a ball of

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(10 points) Alice stands on a hill inclined heta degrees above the horizontal. She kicks a ball of mass m kilograms up the hill. The force her foot exerts on the ball is parallel to the hill and her foot is in contact with the ball for Delta t_(01) seconds during the kick. After leaving Alice's foot, the ball moves up the hill a distance L meters before stopping and heading back down the hill. There is a non-zero friction force of magnitude f newtons acting on the ball the entire time (including during the kick). Please answer the following in terms of the variables given above and use g as the magnitude of free-fall acceleration. (HINT: check units) a) Draw pictures of the situation. Label the important moments in time as follows: t=t_(0) is moment the kick begins, t=t_(1) is moment the ball leaves Alice's foot, t=t_(2) is moment ball reaches highest point on hill, t=t_(3) is moment the ball gets back to same location where it left Alice's foot. Include displacements, velocities, and accelerations as labeled arrows. Include their magnitudes if you know them, write a question mark if you do not. b) Draw a complete FBD for the ball at a moment on its way up the hill between the times t_(1) and t_(2). c) Use the FBD from part (b) to "fill out" Newton's 2^(nd ) Law and solve the for the acceleration of the ball on its way up the hill a_(12x) d) Find the velocity of the ball as it left Alice's foot v_(1x) e) Find the acceleration of the ball during the kick a_(01x) f) Draw a complete FBD for the ball at a moment during the kick between the times t_(0) and t_(1) g) Use the FBD from part (f) to "fill out" Newton's 2^(nd ) Law and solve for the magnitude of the kicking force F h) (Extra credit! + 3 points!!) Find an expression for the velocity of the ball when it gets back to where it left Alice's foot. HINT: |v_(3x)|!=|v_(1x)|. Please show step by step. 3)(10 points) Alice stands on a hill inclined 0 degrees above the horizontal. She kicks a ball of mass m kilograms up the hill. The force her foot exerts on the ball is parallel to the hill and her foot is in contact with the ball for toi seconds during the kick. After leaving Alice's foot, the ball moves up the hill a distance L meters before stopping and heading back down the hill. There is a non-zero friction force of magnitude f newtons acting on the ball the entire time (including during the kick). Please answer the following in terms of the variables given above and use g as the magnitude of free-fall acceleration. (HINT: check units) a) Draw pictures of the situation. Label the important moments in time as follows: t=t, is moment the kick begins, t=t is moment the ball leaves Alice's foot, t=t, is moment ball reaches highest point on hill, t=t, is moment the ball gets back to same location where it left Alice's foot. Include displacements, velocities, and accelerations as labeled arrows. Include their magnitudes if you know them, write a question mark if you do not. b) Draw a complete FBD for the ball at a moment on its way up the hill between the times t , and t, . c) Use the FBD from part (b) to "fill out" Newton's 2nd Law and solve the for the acceleration of the ball on its way up the hill a12x d) Find the velocity of the ball as it left Alice's foot V1 x e) Find the acceleration of the ball during the kick ao1 x f) Draw a complete FBD for the ball at a moment during the kick between the times to and t g) Use the FBD from part (f) to fill outNewton's 2nd Law and solve for the magnitude of the kicking force F h) (Extra credit! + 3 points!!) Find an expression for the velocity of the ball when it gets back to where it left Alice's foot. HINT: |V3 x||v1 xl

          (10 points) Alice stands on a hill inclined 	heta  degrees above the horizontal. She kicks a ball of mass m kilograms up the
hill. The force her foot exerts on the ball is parallel to the hill and her foot is in contact with the ball for Delta t_(01) seconds
during the kick. After leaving Alice's foot, the ball moves up the hill a distance L meters before stopping and heading back
down the hill. There is a non-zero friction force of magnitude f newtons acting on the ball the entire time (including during
the kick). Please answer the following in terms of the variables given above and use g as the magnitude of free-fall
acceleration. (HINT: check units)
a) Draw pictures of the situation. Label the important moments in time as follows: t=t_(0) is moment the kick begins, t=t_(1)
is moment the ball leaves Alice's foot, t=t_(2) is moment ball reaches highest point on hill, t=t_(3) is moment the ball gets
back to same location where it left Alice's foot. Include displacements, velocities, and accelerations as labeled arrows.
Include their magnitudes if you know them, write a question mark if you do not.
b) Draw a complete FBD for the ball at a moment on its way up the hill between the times t_(1) and t_(2).
c) Use the FBD from part (b) to "fill out" Newton's 2^(nd ) Law and solve the for the acceleration of the ball on its way up the
hill a_(12x)
d) Find the velocity of the ball as it left Alice's foot v_(1x)
e) Find the acceleration of the ball during the kick a_(01x)
f) Draw a complete FBD for the ball at a moment during the kick between the times t_(0) and t_(1)
g) Use the FBD from part (f) to "fill out" Newton's 2^(nd ) Law and solve for the magnitude of the kicking force F
h) (Extra credit! + 3 points!!) Find an expression for the velocity of the ball when it gets back to where it left Alice's foot.
HINT: |v_(3x)|!=|v_(1x)|. Please show step by step.
3)(10 points) Alice stands on a hill inclined 0 degrees above the horizontal. She kicks a ball of mass m kilograms up the
hill. The force her foot exerts on the ball is parallel to the hill and her foot is in contact with the ball for toi seconds
during the kick. After leaving Alice's foot, the ball moves up the hill a distance L meters before stopping and heading back down the hill. There is a non-zero friction force of magnitude f newtons acting on the ball the entire time (including during the kick). Please answer the following in terms of the variables given above and use g as the magnitude of free-fall acceleration. (HINT: check units) a) Draw pictures of the situation. Label the important moments in time as follows: t=t, is moment the kick begins, t=t
is moment the ball leaves Alice's foot, t=t, is moment ball reaches highest point on hill, t=t, is moment the ball gets back to same location where it left Alice's foot. Include displacements, velocities, and accelerations as labeled arrows. Include their magnitudes if you know them, write a question mark if you do not. b) Draw a complete FBD for the ball at a moment on its way up the hill between the times t , and t, . c) Use the FBD from part (b) to "fill out" Newton's 2nd Law and solve the for the acceleration of the ball on its way up the hill a12x d) Find the velocity of the ball as it left Alice's foot V1 x e) Find the acceleration of the ball during the kick ao1 x f) Draw a complete FBD for the ball at a moment during the kick between the times to and t g) Use the FBD from part (f) to fill outNewton's 2nd Law and solve for the magnitude of the kicking force F h) (Extra credit! + 3 points!!) Find an expression for the velocity of the ball when it gets back to where it left Alice's foot. HINT: |V3 x||v1 xl

10 points alice stands on a hill inclined theta degrees above the horizontal she kicks a ball of mass m kilograms up the hill the force her foot exerts on the ball is parallel to the hill an 04986

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