The position of a particle moving along the x-axis is given by a twice-differentiable function x(t). If x(2) < 0, x'(2) < 0, and x''(2) <0, which of the following statements must be true about the particle at time t=2? a. The particle is moving toward the origin at a decreasing speed.
b. The particle is moving toward the origin at an increasing speed.
c. The particle is moving away from the origin at a decreasing speed.
d. The particle is moving away from the origin at an increasing speed.
e. The particle is moving away from the origin at a constant speed.

c cuz differential of position is velocity, velocity is negative so moving away, differential of velocity is acceleration, negative acc is decreasing velocity

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step-by-step explanation:

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answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)