We have that for the Question it can be said that The maximum height reached by the first object will be 100 times that of the other.
From the question we are told
One object is thrown vertically upward with an initial velocity of 100 m/s and another object with an initial velocity of 10 m/s. The maximum height reached by the first object will be
that of the other.
a. 10,000 times
b. none of these
c. 1000 times
d. 100 times
e. 10 times
Generally the equation for the velocity is mathematically given as
[tex]v=\frac{d}{t}\\\\Where\\\\\frac{H_{max}_1}{H_{max}_2}=\frac{(V_1)^2}{(v_2)^2}\\\\\frac{H_{max}_1}{H_{max}_2}=\frac{10000}{(10}\\\\[/tex]
[tex](H_{max})_1=100*(H_{max})_2[/tex]
Therefore
The maximum height reached by the first object will be 100 times that of the other.
[tex](H_{max})_1=100*(H_{max})_2[/tex]
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