Linear Motion Quiz Questions And Answers

The average speed is calculated by dividing the total distance traveled by the total time taken. In this case, the total distance is 240 km and the total time is 4 hours. Therefore, the average speed is 240 km divided by 4 hours, which equals 60 km/h.

The statement is true because elapsed time refers to the total amount of time that has passed between the start and end of a particular event or activity, in this case, a fall. It measures the duration from the beginning to the end, capturing the entire time span of the fall. Therefore, the answer is true.

A position-time graph represents the motion of an object over time. When an object has a constant velocity, it means it is moving at a steady speed in a straight line. Therefore, the position-time graph for constant velocity will also be a straight line. This is because the object covers equal distances in equal intervals of time, resulting in a linear relationship between position and time.

The speed of an object is calculated by dividing the distance it travels by the time it takes to travel that distance. In this case, the bowling ball moves 8 meters in 4 seconds. Dividing 8 meters by 4 seconds gives us a speed of 2 meters per second.

The average walking speed can be calculated by dividing the distance traveled by the time taken. In this case, the distance traveled is 1 meter and the time taken is 0.5 seconds. Dividing 1 meter by 0.5 seconds gives us a speed of 2 meters per second.

A changing velocity is not represented by a straight line on a position-time graph. Instead, a changing velocity is represented by a curve on a position-time graph. This is because velocity is the rate of change of position over time, so if the velocity is changing, it means that the rate of change of position is also changing, resulting in a curved line on the graph.

Acceleration describes any change in velocity. This includes an object that is speeding up, an object that is slowing down, and an object that is changing direction. Acceleration is a vector quantity that measures the rate at which an object's velocity changes over time. It can be positive when the object is speeding up, negative when the object is slowing down, or even zero when the object's velocity remains constant. Therefore, all of the given options are correct explanations of acceleration.

The correct answer is "moving" because the question states that the object moves from one position to another. This implies that the object is in motion or moving. The other options such as "accelerating," "speeding," and "in free fall" are not necessarily true based on the information given in the question.

The correct answer is "all of the above" because speed is indeed a measure of how fast something is moving, it is also the distance covered per unit time, and it is always measured in terms of a unit of distance divided by a unit of time. Therefore, all three statements are true and provide a comprehensive explanation of what speed is.

The skateboarder starts from rest, which means their initial velocity is zero. They accelerate at a rate of 5 m/s^2 for 3 seconds. Using the equation v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time, we can calculate the final velocity. Plugging in the values, we get v = 0 + 5 * 3 = 15 m/s. Therefore, the speed of the skateboarder is 15 m/s.

When you look at the speedometer in a moving car, you can see the car's instantaneous speed. Instantaneous speed refers to the speed of an object at a specific moment in time. The speedometer in a car measures the current speed of the car, providing the driver with real-time information about how fast the car is moving at that particular moment. It does not provide information about the average speed, acceleration, or distance traveled over a period of time.

Charlie runs for 1 hour at an average speed of 8 km/hr. This means that for every hour, he covers a distance of 8 km. Therefore, the distance that Charlie runs is 8 km.

If you maintain an average speed of 10 m/s for 40 seconds, you can calculate the distance traveled by multiplying the speed by the time. In this case, 10 m/s multiplied by 40 seconds equals 400 m.

The car starts from rest, which means its initial velocity is zero. It then accelerates at a constant rate of 2 m/s^2. To calculate the instantaneous speed at the 10-second mark, we can use the equation: final velocity = initial velocity + (acceleration * time). Plugging in the values, we get: final velocity = 0 + (2 * 10) = 20 m/s. Therefore, the instantaneous speed at the 10-second mark is 20 m/s.

Objects in free fall are only influenced by gravity, not by air resistance. This is because in free fall, the only force acting on the object is the force of gravity. Air resistance, on the other hand, is a force that opposes the motion of objects through the air. However, in free fall, the object is typically falling through a vacuum or in a situation where the effects of air resistance are negligible. Therefore, in these conditions, the object is only influenced by gravity and not by air resistance.

The statement is true because when a ball falls freely, it is only under the influence of gravity. In this case, the acceleration due to gravity remains constant, which means that the ball's velocity increases by the same amount every second. As a result, the distance it falls each second is also the same. This is known as uniform acceleration, and it applies to objects falling freely near the surface of the Earth.

The acceleration of an object is determined by the change in its velocity over time. In this case, the ball starts from rest and gains a speed of 25 m/s in 5 seconds. To calculate the acceleration, we can use the formula

acceleration = change in velocity/time.

The change in velocity is 25 m/s (final velocity) - 0 m/s (initial velocity), which is 25 m/s.

Dividing this by the time of 5 seconds gives us an acceleration of

5 m/s/s = 5 m/s^2

An object in free fall, without air resistance, accelerates at a constant rate of 9.8 m/s^2. The equation to calculate the distance covered by an object in free fall is given by d = 1/2 * g * t^2, where d is the distance, g is the acceleration due to gravity, and t is the time. Substituting the given values, d = 1/2 * 9.8 * 12^2 = 1/2 * 9.8 * 144 = 705.6 m. Therefore, the vertical distance covered by the object in 12 seconds is 705.6 m.

Distance fallen = 1/2 × acceleration due to gravity × time²



Using standard values:

Distance fallen = 1/2 × 9.8 m/s² × (1.5 s)²

Distance fallen ≈ 1/2 × 9.8 m/s² × 2.25 s²

Distance fallen ≈ 11.027 ≈ 11.02 ≈ 11.03 meters



So, the apple falls approximately 11.03 meters before hitting the ground.