Chameleons can rapidly project their very long tongues to catch nearby insects. The tongue of the tiny Rosette-nosed chameleon has the highest acceleration of a body part of any amniote (reptile, bird, or mammal) ever measured. In a somewhat simplified model of its tongue motion, the tongue, starting from rest, first undergoes a constant-acceleration phase with an astounding magnitude of 2500 m/s2m/s2. This acceleration brings the tongue up to a final speed of 5.0 m/sm/s. It continues at this speed for 22 msms until it hits its target.

**Part A**

How long does the acceleration phase last?

Express your answer with the appropriate units.

To determine how long the acceleration phase lasts, we can use one of the kinematic equations that relates acceleration, initial velocity, final velocity, and time:

\[
v_f = v_i + a \cdot t
\]

Where:
- \( v_f \) is the final velocity (5.0 m/s),
- \( v_i \) is the initial velocity (0 m/s, since the tongue starts from rest),
- \( a \) is the acceleration (2500 m/s²),
- \( t \) is the time during the acceleration phase, which we need to find.

Rearranging the equation to solve for \( t \):

\[
t = \frac{v_f - v_i}{a}
\]

Substituting the known values:

\[
t = \frac{5.0 \, \text{m/s} - 0 \, \text{m/s}}{2500 \, \text{m/s}^2}
\]

Now, let's calculate the time.# Given values
final_velocity = 5.0  # m/s
initial_velocity = 0.0  # m/s (starts from rest)
acceleration = 2500.0  # m/s^2

# Calculate the time during the acceleration phase
time_acceleration_phase = (final_velocity - initial_velocity) / acceleration
time_acceleration_phaseThe acceleration phase lasts for \( 0.002 \) seconds, or 2 milliseconds (ms).

Would you like more details or have any further questions? Here are some related questions:

1. What is the total distance the tongue travels during the acceleration phase?
2. How far does the tongue travel during the constant-speed phase?
3. What is the total distance covered by the tongue in the entire motion?
4. How does the acceleration of the chameleon's tongue compare to other animals?
5. Can we determine the average speed during the tongue's motion?

**Tip:** In problems involving acceleration, always check if the object starts from rest, as it simplifies the initial conditions.

Chameleons can rapidly project their very long tongues to catch nearby insects. The tongue of the tiny Rosette-nosed chameleon has the highest acceleration of a body part of any amniote (reptile, bird, or mammal) ever measured. In a somewhat simplified model of its tongue motion, the tongue, starting from rest, first undergoes a constant-acceleration phase with an astounding magnitude of 2500 m/s². This acceleration brings the tongue up to a final speed of 5.0 m/s. It continues at this speed for 22 ms until it hits its target.

How long does the acceleration phase last?

Learn how to calculate the duration of the acceleration phase in the motion of a Rosette-nosed chameleon's tongue using kinematic equations. With an acceleration of 2500 m/s² and a final speed of 5.0 m/s, this problem demonstrates the application of constant acceleration formulas. Suitable for Grades 10-12.

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