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The record distance in the sport of throwing cowpats is 81.1 m. This record toss was set by Steve Uren of the United States in 1981. Assuming the initial launch angle was 45° and neglecting air resistance, determine (a) the initial speed of the projectile and (b) the total time interval the projectile was in flight. (c) How would the answers change if the range were the same but the launch angle were greater than 45°? Explain. ​

Answer 1

Verified answer

Jawaban:

Penjelasan:

Gerak Parabola & Glbb

Diberikan soal : (Translate indonesia untuk memahami soal)

Seorang pelempar cowpats (Steve Uren) berhasil memecahkan rekor dalam lomba , yaitu dengan jarak 81,1 m.

Jika diketahui asumsi sudut pelemparan 45° dari permukaan tanah , dengan mengabaikan hambatan udara , maka diperoleh bahwasanya soal membahas tentang GLBB mencakup gerak parabola dengan pergerakan proyektil di sumbu x dengan arah horizontal

Ditanya :

A) Kecepatan (speed)

B) interval waktu ketika projectile berada di udara atau melayang

C) Apakah jawaban berubah jika jarak tetap namun sudut pelemparan diubah > 45°

Jawab & Penjelasan ( Dalam Inggris , untuk menyesuaikan soal )

We have :

• R(Range) = 81,1 m
• [tex]\theta[/tex] = 45°
• Gravity (g) = 9,8

Then

A ) projectile's speed :

[tex]\begin{aligned}\rm V&=\rm\sqrt{\frac{Rg}{\sin(2\theta)}}\\&=\rm\sqrt{\frac{81,1.(9,8)}{\sin(90^\circ)}}\\&=\rm\frac{9.3,14}{1}\\&=\rm 2,82m/s\end{aligned}[/tex]

B) Total time interval project :

[tex]\begin{aligned}T&=\frac{2V.\sin(\theta)}{g}\\&=\rm\frac{2(2,82)\times \sin(45^\circ)}{9,8}\\&=\rm\frac{56,4\times 0,707}{9,8}\\&=\rm4,07\:seconds\end{aligned}[/tex]

C) If we change the launch angle where greater than ∠45° but the range is constant , we can see from the A answer when increase sin(θ) to sin(2θ) then we can conclude that the time required for the projectile when has been throwing will increase.Provided the angle is not more than ∠90°