(b) Is the motion of the rock one with constant velocity or constant acceleration? Choose an appropriate equation of motion to calculate the height of the cliff. Something to think about: Do you need to split the trip into two parts: 1. the rock's journey up, and 2. the rock's journey down? Is it possible to solve without splitting the motion into two parts? Ay=vt Ay = (vo+ v)₁ t 2 v=v₁ + at ✓= √²+2aAy 1 Ay= Vot+2 -at² (c) Calculate the height of the cliff. Note: The height of the cliff should be a positive value. Enter to 3 significant figures h= t= m (d) How long would it take the rock to reach the ground if it is thrown straight down with the same speed instead of up? Enter to 3 significant figures S Sense-making: Check if the answer in part (d) is less than the time in part (a).
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
![**Physics Problem on Motion**
**(b) Motion Analysis**
- Question: Is the motion of the rock characterized by constant velocity or constant acceleration?
- Selection: Use the dropdown menu to choose the correct type of motion.
**Equation Selection for Cliff Height Calculation**
- Task: Choose an appropriate equation of motion to determine the height of the cliff.
- **Consideration**:
- Do you need to divide the rock's motion into two phases: 1. the ascent, and 2. the descent?
- Can the problem be solved without dividing the motion?
**Equations of Motion:**
1. \( \Delta y = vt \)
2. \( \Delta y = \frac{(v_0 + v)}{2} t \)
3. \( v = v_0 + at \)
4. \( v^2 = v_0^2 + 2a\Delta y \)
5. \( \Delta y = v_0 t + \frac{1}{2} at^2 \)
**(c) Height Calculation**
- Task: Compute the height of the cliff. The result should be positive.
- Input Format: Enter to 3 significant figures
- \( h = \) [Input box] m
**(d) Time Calculation for Descent**
- Task: Calculate the time taken for the rock to hit the ground if it is thrown straight down with the same speed.
- Input Format: Enter to 3 significant figures
- \( t = \) [Input box] s
**Sense-Making**
- Verify if the time calculated in part (d) is less than the time in part (a).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F003be4cf-16a8-4c58-b6a8-fd2c192ebcf0%2F0243c199-ceee-476a-9185-67bd5def1cf3%2Fggxk1wb_processed.png&w=3840&q=75)
![### Transcription and Explanation for Educational Website:
1. **Solution Overview**:
The provided solution shows how Part 1 should have been structured using vectors to represent motion.
2. **Diagram Description**:
- The diagram illustrates the motion of a rock thrown vertically from a cliff.
- Vectors are shown for initial velocity \( v_0 \), final velocity \( v \), and acceleration \( a \).
- The top of the cliff is labeled \( y_0 \), and the bottom of the cliff is marked as the end point for \( y \).
3. **Vector Orientation**:
- \( v_0 \) (initial velocity) is directed upwards (blue arrow).
- \( v \) (final velocity) is directed downwards (green arrow).
- \( a \) (acceleration due to gravity) points downward (red arrow).
4. **Problem Context**:
- It takes 2 seconds for the rock to hit the ground after being thrown with an initial velocity of 7.00 m/s.
- Calculations should consider up to 3 significant figures.
5. **Instructions (Part a)**:
- Use \(\Delta y = y - y_0\) for displacement.
- Identify known and unknown quantities using the variables:
- \( y \): Position after time \( t \)
- \( y_0 \): Initial position
- \( v \): Velocity after time \( t \)
- \( v_0 \): Initial velocity
- \( a \): Acceleration
- Enter values for known quantities, ensuring vector signs match the diagram.
6. **Input Fields for Known Quantities**:
- \( v_0 = \) [Enter value] m/s
- \( a = \) [Enter value] m/s\(^2\)
- \( t = \) [Enter value] s
This setup guides students through a physics problem involving projectile motion, emphasizing vector orientation and accurate calculation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F003be4cf-16a8-4c58-b6a8-fd2c192ebcf0%2F0243c199-ceee-476a-9185-67bd5def1cf3%2F29lk99q_processed.png&w=3840&q=75)
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