Question

A honda civic travels in a straight line along a road. Its distance x from a stop sign is given as a function of time t by the equation x(t)=αt²−β t³, where α=1.60 m/s² and β=5.10×10−² m/s³

Answer 1

The equation x(t) = αt² - βt³ represents the distance x of a Honda Civic from a stop sign as a function of time t. By plugging in the given values of α=1.60 m/s² and β=5.10×10⁻² m/s³, you can calculate the distance x at any given time t.

Step-by-step explanation:

The equation given, x(t) = αt² - βt³, represents the distance x of a Honda Civic from a stop sign as a function of time t. The term α represents the acceleration of the car, while the term β represents the deceleration of the car. By plugging in the given values of α=1.60 m/s² and β=5.10×10⁻² m/s³, you can calculate the distance x at any given time t.