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Kinematics Examples: A) A cat has a time dependent position given by x(t) = 4.50 m...

Kinematics Examples:

A) A cat has a time dependent position given
by

x(t) = 4.50 m + (3.20 m/s^2) t^2 - (1.75 m/s^3) t^3

Find Velocity as function of time?

Find acceleration as a function of time?

Find the position velocity, and acceleration of the cat at t = 3.00 s?

Find average velocity and average acceleration for the 1st 3.00s?

Find the position of the cat when it first changes direction?

B) A robot starts at X0 = 4.00m and has a time dependent velocity given by:

Vx (t) = 7.65 m/s - (3.71 m/s^3) t^2

Find the position as a function of time?
Find acceleration as a function of time?

Find the position, velocity, and acceleration at t= 2.50 s?

Find the average velocity of the robot for the first 2.50s?

Find the average acceleration of the robot from t= 1.00s to t= 2.50s ?

Is the robot speeding up or slowing down at t= 2.50s? Explain.

C) A mouse starts at X0= +6.50 m. It is initially moving left at V0x = - 2.11 m/s. It has a time dependent acceleration given by:

ax (t) = (4.75 m/s^2) + (1.50 m/s^4) t^2

Find the position, velocity, and acceleration of the mouse at t= 5.00s?

Find the average acceleration from t= 2.00s to t= 5.00s ?

Is the mouse speeding up or slowing down at t= 0.300s? Explain

At what time does the mouse change direction?

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