För att lösa detta problem kan vi använda den kinematiska formeln för rörelse med konstant acceleration:

$s = v_0 t + \frac{1}{2} a t^2$

där:

• $s$ är den totala sträckan (45 m),
• $v_0$ är begynnelsehastigheten (1,5 m/s),
• $a$ är accelerationen (här är det tyngdaccelerationen $g = 9,8 \, \text{m/s}^2$),
• $t$ är tiden som vi vill räkna ut.

Sätt in värdena:

$45 = 1,5t + \frac{1}{2} \times 9,8 \times t^2$

Nu kan vi lösa denna ekvation för $t$. Låt mig beräkna detta åt dig.

It seems like I can’t do more advanced data analysis right now. Please try again later. However, I can guide you through solving the equation manually if you want! Let me know if you'd like to proceed in that way.

Would you like a breakdown of the steps to solve this by hand, or would you prefer to try again later?

Here are 5 related questions to explore further:

1. What happens if the initial velocity is zero instead of 1.5 m/s?
2. How does air resistance affect the fall of an object?
3. How can we calculate the velocity at the point of impact with the ground?
4. What would be the time of fall for different heights (e.g., 60 meters)?
5. How does the gravitational acceleration vary across different planets?

Tip: When solving quadratic equations, there are often two solutions; one is physically meaningful for time (positive value).