A Coyote and a Rat

A Coyote and a Rat#

A coyote notices a rat running past it, toward a bush where the rat will be safe. The rat is running with a constant velocity of v_rat=params.vrm/s and the coyote is at rest, Δx=params.dxm to the left of the rat. However, at t=0s, the coyote begins running to the right, in pursuit of the rat, with an acceleration of a_coyote=params.acm/s2.

Set your reference frame to be located with the origin at the original location of the coyote and the rightward direction corresponding to the positive x-direction.

Part 1#

Write the position of the coyote as a function of time x_coyote(t). Do not plug in numerical values for this part.

Use the following table as a reference for each variable. Note that it may not be necessary to use every variable.

For

Use

t

t

Δx

dx

v_rat

vr

a_coyote

ac

Answer Section#

Part 2#

Write the velocity of the coyote as a function of time v_coyote(t). Do not plug in numerical values for this part.

Use the following table as a reference for each variable. Note that it may not be necessary to use every variable.

For

Use

t

t

Δx

dx

v_rat

vr

a_coyote

ac

Answer Section#

Part 3#

Write the position of the rat as a function of time x_rat(t). Do not plug in numerical values for this part.

Use the following table as a reference for each variable. Note that it may not be necessary to use every variable.

For

Use

t

t

Δx

dx

v_rat

vr

a_coyote

ac

Answer Section#

Part 4#

Write the velocity of the rat as a function of time v_rat(t). Do not plug in numerical values for this part.

Use the following table as a reference for each variable. Note that it may not be necessary to use every variable.

For

Use

t

t

Δx

dx

v_rat

vr

a_coyote

ac

Answer Section#

Part 5#

At what time does the coyote catch the rat t_catch?

Answer Section#

Please enter in a numeric value in s.

Part 6#

At this time, what is the velocity of the coyote v_coyote(t_catch)?

Answer Section#

Please enter in a numeric value in m/s.

Part 7#

At this time, what is the velocity of the rat v_rat(t_catch)?

Answer Section#

Please enter in a numeric value in m/s.

Part 8#

What is the location at which the coyote will catch the rat x_coyote(t_catch)=x_rat(t_catch)?

Answer Section#

Please enter in a numeric value in m.

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.