Initial Conditions

Practice Questions

AP Calculus BC › Initial Conditions

Questions

4

1

The temperature of an oven is increasing at a rate $r(t)=2e^{0.5t}$ degrees Fahrenheit per miniute for $0\le t\le10$ minutes. The initial temperature of the oven is degrees Fahrenheit.

What is the temperture of the oven at ? Round your answer to the nearest tenth.

2

Find the work done by gravity exerting an acceleration of $-10\frac{m}{s^2}$ for a block down from its original position with no initial velocity.

Remember that

$F_{grav}=mass*acceleration$

$W=\int_{a}^{b}F(x)dx$ , where is a force measured in , is work measured in , and and are initial and final positions respectively.

3

Find the equation for the velocity of a particle if the acceleration of the particle is given by:

and the velocity at time of the particle is .

4

Evaluate the following integral and find the specific function which satisfies the given initial conditions:

$f(x)=\int3x^2-e^x+2dx$

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