The shot put world record for women stands at 22.63 m (Natalya Lisovskaya, 1987). Assuming that the shot is projected from a height of 2.2 m at an angle of 45° and neglecting air resistance, the initial speed of the particle is 14.22 m/s. Use g = 9.81 ms-2 for the gravitational acceleration on the surface of the Earth. Parameters (x(+)), z(+)): Vo x(+) 늘 = 2(+) = 글 gta Vo t + √√2 + Zo 1. Find the maximal height of the shot, using the parameters. Give a general expression (no numbers substituted in yet), then evaluate this expression to 2 digits accuracy. 2. Eliminate time t to find an implicit expression of the form z(x) of the solution curve. Use this expression to again determine the maximal height of the shot. 3. Use conservation of energy to determine the maximal height of the shot. You should find the same answer with all three methods.

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The shot put world record for women stands at 22.63 m (Natalya Lisovskaya, 1987). Assuming that
the shot is projected from a height of 2.2 m at an angle of 45° and neglecting air resistance, the initial
speed of the particle is 14.22 m/s. Use g = 9.81 ms-2 for the gravitational acceleration on the surface
of the Earth.
Parameters
(x(+)), z(+)):
x(t) =
2(+) =
9 +2
+
شاد
t
+ Zo
1. Find the maximal height of the shot, using the parameters. Give a general expression (no
numbers substituted in yet), then evaluate this
expression to 2 digits accuracy.
2.
3.
Eliminate time t to find an implicit expression of the form z(x) of the solution curve. Use this
expression to again determine the maximal height of the shot.
Use conservation of energy to determine the maximal height of the shot.
You should find the same answer with all three methods.
Transcribed Image Text:The shot put world record for women stands at 22.63 m (Natalya Lisovskaya, 1987). Assuming that the shot is projected from a height of 2.2 m at an angle of 45° and neglecting air resistance, the initial speed of the particle is 14.22 m/s. Use g = 9.81 ms-2 for the gravitational acceleration on the surface of the Earth. Parameters (x(+)), z(+)): x(t) = 2(+) = 9 +2 + شاد t + Zo 1. Find the maximal height of the shot, using the parameters. Give a general expression (no numbers substituted in yet), then evaluate this expression to 2 digits accuracy. 2. 3. Eliminate time t to find an implicit expression of the form z(x) of the solution curve. Use this expression to again determine the maximal height of the shot. Use conservation of energy to determine the maximal height of the shot. You should find the same answer with all three methods.
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