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seropon [69]
3 years ago
11

The distance covered by a car at a time, t is given by x = 20t + 6t4, calculate

Physics
1 answer:
Anni [7]3 years ago
8 0

Answer:

(i) v = 44 m/s

(ii) a = 72 m/s^2

Explanation:

You have the following equation for the potion of a car:

x=20t+6t^4

(i) The instantaneous velocity is the derivative of x in time:

\frac{dx}{dt}=20+(6)(4)t^3=20+24t^3

for t = 1 is:

v(t=1)=\frac{dx}{dt}=20+24(1)^3=44m/s

(ii) The instantaneous acceleration is the derivative of the velocity:

\frac{dv}{dt}=24(3)t^2=72t^2

for t = 1

a(t=1)=\frac{dv}{dt}=72(1)^2=72m/s^2

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