Practice Questions

Define average velocity and state its formula using the terms displacement and time interval.

A car's odometer reads 2500 km at the start of a trip and 2900 km at the end. The car returns to its exact starting point. Analyze the displacement of the car for the entire trip.

From the velocity-time graph of a moving object, it is determined that the area enclosed by the graph line and the time axis for a 10-second interval is $150 \text{ m}$. Calculate the displacement of the object in this interval and explain the principle used.

List two examples of motion in a straight line that you can observe in daily life.

Examine the velocity-time graph of an object moving with constant positive acceleration, starting from rest. What does the slope of the line represent?

Name the physical quantity that is represented by the slope of a velocity-time graph.

Compare the distance travelled and the magnitude of displacement for an object that completes exactly one full revolution on a circular track of radius $R$.

Define the term displacement.

Recall the SI unit for acceleration.

Design an experiment to demonstrate that an object in uniform circular motion is accelerating, even if its speed is constant. List the materials required, the procedure, and justify how the expected observation proves acceleration.

Explain the difference between a scalar quantity and a vector quantity, providing one example of each from the study of motion.

Define uniform circular motion and explain why it is classified as an accelerated motion.

Identify the type of motion when an object's velocity changes by unequal amounts in equal intervals of time.

Recall the first two kinematic equations for uniformly accelerated motion. List what each variable in the equations represents.

Describe what a reference point is and explain its importance in describing motion.

A satellite orbits the Earth at a constant speed of $8000 \text{ m/s}$. Apply the concept of acceleration to determine if the satellite is accelerating.

Formulate a real-world problem involving a vehicle that first accelerates from rest, then moves at a constant velocity, and finally decelerates to a stop. The problem must be designed such that solving for the total distance requires using at least two different kinematic equations.

A car travels along a straight road for $200$ m towards the east and then turns back to travel $50$ m towards the west. Describe the total distance covered and the magnitude of the final displacement.

A cyclist travels 3 km east and then turns to travel 4 km north. Calculate the total distance travelled and the magnitude of the displacement.

A train starts from rest and accelerates to a velocity of $90 \text{ km/h}$ in 5 minutes. Calculate its average acceleration in $\text{m/s}^2$.

A ball is thrown vertically upwards and reaches a maximum height of 20 m. If the acceleration due to gravity is $g = -9.8 \text{ m/s}^2$, solve for the initial velocity with which it was thrown.

Examine a scenario where an object's average speed is a non-zero value, but its average velocity is zero. Provide a simple example.

A scooter moving at $10 \text{ m/s}$ applies brakes and comes to a stop in 5 seconds. Assuming constant acceleration, calculate the acceleration and the distance it travels before stopping. Also, demonstrate this motion by describing its velocity-time graph.

The position-time graphs for two runners, P and Q, are straight lines, and both start from the origin. The line for P is steeper than the line for Q. Analyze and determine which runner has a higher velocity and justify your answer.

A student claims that for any journey an object undertakes, the magnitude of its average velocity can never be greater than its average speed. Evaluate this claim and justify your reasoning with a supporting scenario.

A driver argues that because their car's speedometer showed a constant $60 \text{ km/h}$ on a winding mountain road, the car was not accelerating. Critique this argument based on the principles of velocity and acceleration.

A car accelerates uniformly from $18 \text{ km/h}$ to $72 \text{ km/h}$ over a distance of 100 m. Solve for the acceleration of the car and the time taken to cover this distance.

A driver sees a child on the road 50 m ahead. The driver's reaction time is 0.5 s, and the car is moving at $54 \text{ km/h}$. After reacting, the brakes produce a constant acceleration of $-5 \text{ m/s}^2$. Apply the equations of motion to determine if the car will stop before hitting the child.

Two runners, A and B, start at the same point and finish at the same point $100$ m away, taking the same amount of time. The position-time graph for runner A is a straight line, while for runner B it is a curve. Propose a reason for the difference in their instantaneous speeds and justify which runner likely exerted more net force throughout the race.

Two cars, A and B, start from the same point. Car A travels 50 km due east in 1 hour. Car B travels 50 km due west in 1 hour and then returns to the starting point in the next hour. For the total two-hour duration, compare the average speed and average velocity of both cars.

Describe the nature of motion for an object based on its position-time graph when the graph is: (a) a horizontal line not on the time axis, (b) a straight line with a positive slope passing through the origin, and (c) a curve that is getting steeper.

Summarize the key differences between speed and velocity. Describe a scenario where an object's average speed is not zero, but its average velocity is zero. Explain your reasoning.

The motion of a particle is described by a position-time graph with coordinates (0s, 0m), (2s, 10m), (4s, 10m), and (6s, -10m). Analyze the motion in each of the three segments (0-2s, 2-4s, 4-6s) by calculating the velocity. Contrast the motion in the first and third segments.

A bus decreases its speed from $72 \text{ km/h}$ to $54 \text{ km/h}$ in $10$ seconds. Recall the formula for average acceleration and calculate its value in $\text{m/s}^2$.

Summarize the information that can be obtained from a velocity-time graph. Explain how to find (a) the acceleration and (b) the displacement of an object from such a graph.