Determine an appropriate domain of the function. Identify the independent and de

Question

Determine an appropriate domain of the function. Identify the independent and dependent variables.
A stone is thrown vertically upward from the ground at a speed of 35 m/s at time t=0. Its distance d (in m) above the ground (neglecting air resistance) is approximated by the function f(t) = 35t - 5t^2 Determine an appropriate domain of the function. Identify the independent and dependent variables.
A stone is thrown vertically upward from the ground at a speed of 35 m/s at time t=0. Its distance d (in m) above the ground (neglecting air resistance) is approximated by the function f(t) = 35t - 5t^2
A stone is thrown vertically upward from the ground at a speed of 35 m/s at time t=0. Its distance d (in m) above the ground (neglecting air resistance) is approximated by the function f(t) = 35t - 5t^2

Explanation / Answer

Given

u=35 m/s

d=f(t) = 35t-5(t^2)

¡) find appropriate domain of a function

f'(t)=0

35-10t = 0

t=3.5 secs

Here,value of t is not dependent on any factor

Hence t is independent variable

Value of d is varied according to change in t value

Hence d is dependent variable

? initial velocity never dependent on any value

Hence initial velocity u is independent variable

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