4. Han's younger sister is riding her tricycle in a straight line. After 3 s, her speed is 0.5 m/s. After 5 s, her speed is 1.5 m/s. What is her acceleration during this time?

Respuesta :

Answer:

Han's younger sister accelerated at a rate of 0.5 meters per square second during that time.

Step-by-step explanation:

Let suppose that Han's younger sister accelerates at constant rate, then, acceleration ([tex]a[/tex]), measured in meters per square second, can be calculated by the following equation:

[tex]a = \frac{v_{f}-v_{o}}{t_{f}-t_{o}}[/tex]

Where:

[tex]t_{o}[/tex], [tex]t_{f}[/tex] - Initial and final times, measured in seconds.

[tex]v_{o}[/tex], [tex]v_{f}[/tex] - Initial and final speeds, measured in meters per second.

If we know that [tex]t_{o} = 3\,s[/tex], [tex]t_{f} = 5\,s[/tex], [tex]v_{o} = 0.5\,\frac{m}{s}[/tex] and [tex]v_{f} = 1.5\,\frac{m}{s}[/tex], the acceleration of the younger sister is:

[tex]a = \frac{1.5\,\frac{m}{s}-0.5\,\frac{m}{s} }{5\,s-3\,s}[/tex]

[tex]a = 0.5\,\frac{m}{s^{2}}[/tex]

Han's younger sister accelerated at a rate of 0.5 meters per square second during that time.

Answer:

0.5 m/s ²

Step-by-step explanation:

a = 1.5 m/s - 0.5 m/s  = 1 m/s =  0.5 m/s ²

     ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻     ⁻⁻⁻⁻⁻⁻⁻⁻

             2 s                        2 s

5s - 3s = 2s

1.5 m/s - 0.5 m/s = 1 m/s

1 m/s  ÷  2s = 0.5 m/s ²