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In Physics / High School | 2014-09-23

Kecepatan sebuah benda dinyatakan dengan persamaan \(v_x = 8t + 2\) dan \(v_y = 12 + 2t\). Jika posisi awal partikel adalah (2, 5), maka posisi benda pada saat \(t = 4\) s adalah?

Asked by aufar

Answer (2)

x = 2 y = 5
persamaan 1 : vx = 8t + 2 , x = 2 dan t = 0 karena posisi awal 2v = 8(0) + 2 2v = 2 v1 = 1
persamaan 2 : vy = 12 + 2t , y = 5 dan t = 0 karena posisi awal 5v = 12 + 2(0) 5v = 12 v2 = 2,4 masukin pada persamaan t = 4 dengan menggunakan v1 (v pada x) dan v2 (v pada y) vx = 8t + 2 , t = 4 dan v = 1 1x = 8(4) + 2 x = 32 + 2 x = 34
vy = 12 + 2t , t = 4 dan v = 2,4 2,4y = 12 + 2(4) 2,4y = 20 y = 8,33
maka (x,y) = (34 ; 8,33) pada t = 4

Answered by boyzuris | 2024-06-24

At t = 4 seconds, the position of the particle is ( 36 , 25 ) . This is obtained by calculating the x and y velocities and then updating the initial position of ( 2 , 5 ) using these velocities. The particle moves 34 units along the x-axis and 20 units along the y-axis from its initial position.
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Answered by boyzuris | 2024-10-29