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Sagot :
Answer:
Explanation:
This is an exercise in kinematics, the speed they give is in two dimensions, let's work on each component
X axis
initial velocity v₀ₓ = 3 m / s in a time of t = 12 s, the velocity is doubled, the final velocity is vₓ = 6 m / s
acceleration is
vₓ = v₀ₓ + aₓ t
aₓ = [tex]\frac{v_x - v_{ox}} {t}[/tex]
aₓ = 6 - 3/12
aₓ = 0.25 m / s²
the distance traveled is
vₓ² = v₀ₓ² + 2 aₓx x
x = vx² - vox² / 2a
x = 6² - 3² / 2 0.25
x = 54 m
Y axis
we look for acceleration
v_y = v_{oy} + a_y t
a_y = [tex]\frac{v_y - v_{oy} }{t}[/tex]
a_y = [tex]\frac{8 -4} {12}[/tex]
ay = 0.3333 m / s²
the distance is
v_y² = v_{oy}² + 2 a⁷y
y = vy² - voy² / 2 0.25
y = 8² - 4² / 2 0/3333
y = 72 m
the distance traveled is
r = (54 i + 72j) m / s
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