The speed of a toy car over time can be represented by a parabola with minimum speed 2 m/s after 3 seconds. After 5 seconds, the car's speed is 3 m/s. What is the equation in vertex form of a parabola that represents the car's speed, y, over time, x?
2 answers:
Answer:
Step-by-step explanation:
y=ax²+bx+c
x=0,y=0,c=0
y=ax²+bx
2=9a+3b (×-5)
3=25a+5b(×3)
add
9-10=75a-45a+15b-15b
30a=-1
a=-1/(30)
2=9×(-1/30)+3b
3b=2+3/10=23/10
b=23/30
y=-1/30 x²+23/30=-1/30(x²+23x+(23/2)²)+1/30 ×(529/4)
y=-1/30(x+23/2)²+529/120
You have to solve x multiplying y
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