Answer:
[tex]\boxed {\boxed {\sf 5.6 \ m/s^2}}[/tex]
Explanation:
We are asked to find the acceleration of a sports car.
Acceleration is the rate of change of velocity with respect to time. It is the change in velocity over time. Therefore, the formula for calculating acceleration is:
[tex]a= \frac {v_f-v_i}{t}[/tex]
The car can accelerate from 5.0 meters per second to 30 meters per second in 4.5 seconds.
- [tex]v_f[/tex]=30 m/s
- [tex]v_i[/tex]= 5.0 m/s
- t= 4.5 s
Susbtitute the values into the formula.
[tex]a= \frac{ 30 \ m/s - 5.0 \ m/s}{4.5 \ s}[/tex]
Solve the numerator.
- 30 m/s - 5.0 m/s = 25 m/s
[tex]a= \frac{25 \ m/s}{4.5 \ s}[/tex]
Divide.
[tex]a=5.55555556[/tex]
The original measurements all have 2 significant figures, so our answer must have the same. For this number, 2 sig fig is the tenth place. The 5 in the hundredth place tells us to round the 5 in the tenth place up to a 6.
[tex]a \approx 5.6 \ m/s^2[/tex]
The sports car's acceleration is approximately 5.6 meters per second squared.
