Respuesta :
A ball is thrown vertically downward with an initial speed of 15.8 m/s from a building whose height is 122 m. It takes the ball 3.63 s to strike the ground.
Vertical Motion:
Because the object is moving downhill vertically, the motion has a negative acceleration value as well as a negative velocity value.
A quadratic function with concavity downwards can be used to represent both this kind of motion and the motion of the object thrown above.
Answer and justification
h = h0 - v0t - [tex]\frac{gt^2}{2}[/tex]
so putting all the values, we have,
0 = 122 - 15.8t - 4.9 [tex]t^{2}[/tex]
then we know the formula,
t= [tex]\frac{-b±\sqrt{b^2-4ac}}{2a}[/tex] here a=-4.9 b= -15.8 c =122
now putting all the values, we have
t= 3.63 s
So, In 3.63 seconds, the ball lands on the ground.
To know more about Vertical motion visit:
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