Answer:
The horizontal velocity is [tex]v = 9.2 m/s[/tex]
Explanation:
From the question we are told that
The mass of the pumpkin is [tex]m = 2.8 \ kg[/tex]
The distance of the the car from the building's base is [tex]d = 13.4 \ m[/tex]
The height of the roof is [tex]h = 10.4 \ m[/tex]
The height is mathematically represented as
[tex]h = \frac{1}{2} gt^2[/tex]
Where g is the acceleration due to gravity which has a value of [tex]g =9.8 \ m/s^2[/tex]
substituting values
[tex]10.4= 0.5 * 9.8 * t[/tex]
making the time taken the subject of the formula
[tex]t = \frac{10.4}{0.5 * 9.8 }[/tex]
[tex]t = 1.457 \ s[/tex]
The speed at which the pumpkin move horizontally can be represented mathematically as
[tex]v = \frac{d}{t}[/tex]
substituting values
[tex]v =\frac{13.4}{1.457}[/tex]
[tex]v = 9.2 m/s[/tex]
