A raindrop has an initial downward speed of 10 m/s and its downward acceleration is given by

[tex]a = \left \{ \begin{array}{cc} 9 - 0.9t, &0 \le t \le 10

\\0, &t \ge 10\end{array}\right.[/tex]

What is the velocity after 1s? (55 m/s)

I did

[tex]\frac{dv}{dt} = 9 - 09.t \Leftrightarrow v = 9t - 0.45t^2 + C[/tex]

when

[tex]t = 0, v = -10 = 9(0) - 0.45(0)^2 + C \Leftrightarrow C = -10[/tex]

But with this I get -1.45.

[tex]a = \left \{ \begin{array}{cc} 9 - 0.9t, &0 \le t \le 10

\\0, &t \ge 10\end{array}\right.[/tex]

What is the velocity after 1s? (55 m/s)

I did

[tex]\frac{dv}{dt} = 9 - 09.t \Leftrightarrow v = 9t - 0.45t^2 + C[/tex]

when

[tex]t = 0, v = -10 = 9(0) - 0.45(0)^2 + C \Leftrightarrow C = -10[/tex]

But with this I get -1.45.

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