Problem 5 If an object is thrown from ground level with an initial velocity v and an elevation angle a, the object will follow a parabola and land after (disregarding wind resistance etc.) v² sin(20) m. meters. g 9.8 m/s? is the gravity factor. A discus thrower is known to release the discus at a speed v 18 m/s and an angle a n/4 on average. The speed can deviate up to 1 m/s, and the angle r/12 radians. Use the Schranken- satz and the above formula to give an estimate of where the discus will land, with error bounds. Use the formula. Hence, ignore both wind resistance etc. and the fact that the hand of the discus thrower is above ground level at the time of release.

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Problem 5
If an object is thrown from ground level with an initial velocity v and an elevation angle a, the
object will follow a parabola and land after (disregarding wind resistance etc.)
v² sin(2a)
m.
meters. g = 9.8 m/s? is the gravity factor.
A discus thrower is known to release the discus at a speed v = 18 m/s and an angle a = 7/4
on average. The speed can deviate up to 1 m/s, and the angle 7/12 radians. Use the Schranken-
satz and the above formula to give an estimate of where the discus will land, with error bounds.
Use the formula. Hence, ignore both wind resistance etc. and the fact that the hand of the
discus thrower is above ground level at the time of release.
Transcribed Image Text:Problem 5 If an object is thrown from ground level with an initial velocity v and an elevation angle a, the object will follow a parabola and land after (disregarding wind resistance etc.) v² sin(2a) m. meters. g = 9.8 m/s? is the gravity factor. A discus thrower is known to release the discus at a speed v = 18 m/s and an angle a = 7/4 on average. The speed can deviate up to 1 m/s, and the angle 7/12 radians. Use the Schranken- satz and the above formula to give an estimate of where the discus will land, with error bounds. Use the formula. Hence, ignore both wind resistance etc. and the fact that the hand of the discus thrower is above ground level at the time of release.
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