It increased by 7.5% if you subtract the starting value from the new one and then put that answer over the starting value.
Answer:
Where is the graph to use
Answer: 299 m/s
Step-by-step explanation:
The first step is to take the first derivative of the equation given. This will give us the equation for velocity which we will then substitute the 7 in for t.
To derive the equation you multiply the coefficient by the power of the variable, then subtract one from the variable.
v(t) = 6t^2 + 5
Now input 7 in for t to find the velocity.
v(7) = 6(7)^2 + 5
v(7) = 299 m/s
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The slope of the line is the gradient, which you can find through rise over run
m (gradient) = (y1 - y2) / (x1 - x2)
where (x1, y1) is the coordinate of the first point, and (x2, x2) is the coordinate of the second point
in your question:
x1 = -4
x2 = 19
y1 = -13
y2 = 11
m = (-13 -11) / (-4 -19) = -24 / -23 = 24/23 or 1.04 (2d.p.)
hope that helps :)
