PhysicsGrade 12en

📐 Kinematics: Motion in One Dimension

Master the fundamental concepts of one-dimensional motion, including displacement, velocity, acceleration, and kinematic equations. **What you'll learn:** - Distinguish between displacement, velocity, and acceleration in one dimension - Apply kinematic equations to solve complex motion problems - Analyze graphs of position, velocity, and acceleration versus time - Interpret and calculate motion parameters from experimental data - Solve problems involving free fall and uniformly accelerated motion

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Question 1
Displacement is always equal in magnitude to the distance travelled by an object.
Question 2
A car accelerates uniformly from rest and travels 45 m in 3 seconds. What is its acceleration?
Question 3
An object at rest has zero velocity and ___, but acceleration is not necessarily zero.
Question 4
The area under a velocity-time graph represents the displacement of an object.
Question 5
A ball is thrown upward with an initial velocity of 20 m/s. Neglecting air resistance, what is its velocity after 2 seconds? (Use $g = 10 \text{ m/s}^2$ )
Question 6
For an object undergoing uniform acceleration, the average velocity is the mean of the initial and final velocities: $v_{\text{avg}} = \frac{u + v}{2}$ . If an object travels 60 m in 4 s under constant acceleration starting from rest, its final velocity is ___ m/s.
Question 7
A runner decelerates uniformly from 12 m/s to 4 m/s over a distance of 32 m. What is the magnitude of the deceleration?
Question 8
If an object's acceleration is zero, its velocity must also be zero.
Question 9
Order these steps in the typical process of solving a one-dimensional kinematics problem:
Question 10
A particle moves along a line with position $x(t) = 3t^3 - 2t^2 + 5$ . What is its instantaneous acceleration at $t = 2$ s?