Answer:
The highest point reached by the firework is approximately 30.6 meters
Step-by-step explanation:
The upward velocity of the fireworks is given as 24.5 m/s
The equation of projectile motion for an object fired vertically upwards can be written as follows;
v² = u² - 2·g·s
Where;
v = The final velocity of the motion = 0 m/s at maximum height
u = The final velocity of the motion = 24.5 m/s
g = Acceleration due to gravity = 9.81 m/s²
s = The height reached = (The highest point reached by the firework)
By substituting the values, we have;
(0 m/s)² = (24.5 m/s)² - 2 × 9.81 m/s² × s
Which gives;
2 × 9.81 m/s² × s = (24.5 m/s)² = 600.25 m²/s²
19.62 m/s² × s = 600.25 m²/s²
s = 600.25 m²/s²/(19.62 m/s²) = 30.594 m ≈ 30.6 meters
The highest point reached by the firework is approximately 30.6 meters
