When a 1984 Alfa Romeo Spider sports car accelerates at the maximum possible rate, its motion during the first 20 s is extremely well modeled by the simple equation: v2x =(2P/m)*twhere P=3.6×104 W is the car's power output, m = 1200kg is its mass, and vx is in m/s. That is, the square of the car's velocity increases linearly with timeFind a symbolic expression, in terms of P, m, and t, for the car's acceleration at time t.

Question
Asked Oct 24, 2019

When a 1984 Alfa Romeo Spider sports car accelerates at the maximum possible rate, its motion during the first 20 s is extremely well modeled by the simple equation: v2x =(2P/m)*t
where P=3.6×104 W is the car's power output, m = 1200kg is its mass, and vx is in m/s. That is, the square of the car's velocity increases linearly with time

Find a symbolic expression, in terms of P, m, and t, for the car's acceleration at time t.

check_circleExpert Solution
Step 1

Given,

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Step 2

The velocity of the car,

2P
1
т
2P
1
х
т
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2P 1 т 2P 1 х т

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Step 3

Now, acceleratio...

dv
dt
2P
d
т
dt
2P
т
dt
2P
dt
2/i
т
dt
2P
m
2fi
Р
2mt
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dv dt 2P d т dt 2P т dt 2P dt 2/i т dt 2P m 2fi Р 2mt

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