Speed, Velocity & Acceleration 2015 Mcfadden Period 3

When an object is moving at the same speed over a certain distance, it is said to be traveling at a constant speed. This means that the object is maintaining a consistent velocity without any changes in its speed or direction. The object covers equal distances in equal intervals of time, indicating that it is moving at a steady rate.

Velocity is the correct answer because it refers to the speed of an object in a specific direction. It is a vector quantity that includes both magnitude (speed) and direction. Acceleration refers to the rate of change of velocity, deceleration refers to negative acceleration or slowing down, and constant speed refers to a steady speed without any change in velocity. Therefore, velocity is the most appropriate term to describe speed with direction.

Acceleration is the correct answer because it refers to a change in rate of velocity. Velocity is a vector quantity that includes both speed and direction, while acceleration specifically measures the change in velocity over time. It can be positive (when an object speeds up), negative (when an object slows down or decelerates), or zero (when an object maintains a constant velocity). Therefore, acceleration accurately describes the concept of a change in velocity.

The family plans to drive a distance of 225 miles at an average speed of 65 miles per hour. To find the time it will take for the family to reach the beach, we can use the formula Speed = Distance/Time. Rearranging the formula to solve for time, we get Time = Distance/Speed. Substituting the given values, we have Time = 225 miles / 65 miles per hour = 3.46 hours. Therefore, it will take the family approximately 3.46 hours to reach the beach.

The rate of acceleration for the car can be calculated using the formula: Acceleration = (Final Velocity - Initial Velocity) / Time. In this case, the initial velocity is 50 miles per hour, the final velocity is 75 miles per hour, and the time is 4.2 seconds. Plugging these values into the formula, we get: Acceleration = (75 mi/hr - 50 mi/hr) / 4.2 s = 25 mi/hr / 4.2 s = 5.95 mi/hr/s. Therefore, the rate of acceleration for the car is 5.95 mi/hr/s.

The car's rate of acceleration passing the truck was 1.5 m/s/s. This can be calculated using the formula for acceleration, which is the change in velocity divided by the time taken. In this case, the change in velocity is 70 mph - 55 mph = 15 mph. Converting this to meters per second, we get 15 mph * 0.44704 m/s = 6.71 m/s. Dividing this by the time taken of 10 seconds, we get an acceleration of 6.71 m/s / 10 s = 0.671 m/s/s. Rounding this to one decimal place, we get 0.7 m/s/s, which is approximately equal to 1.5 m/s/s.

A constant velocity means that there is no change in speed or direction over time. Since acceleration is the rate of change of velocity, a constant velocity implies that there is no acceleration. Therefore, the correct answer is zero.

To find acceleration, we subtract the initial velocity from the final velocity to determine the change in velocity. Then, we divide this change in velocity by the time it takes for the velocity to change. This calculation gives us the acceleration.

To calculate the velocity of an object, you need to know the time and the distance traveled. This is because velocity is defined as the rate of change of position, which is determined by both the time taken and the distance covered. The direction of the object's movement is assumed to remain constant, so only the time and distance are needed to calculate velocity.

Car B experiences negative acceleration because it decelerates. The phrase "min 6-7" suggests that the car's speed decreases, indicating a negative acceleration. Car A, on the other hand, does not experience negative acceleration as it is not mentioned that it decelerates.

The rate of acceleration for car A from 1 minute to 5 minutes is 10 mph/min. This means that the car's speed increases by 10 miles per hour every minute during this time period.

A body accelerates when it speeds up, slows down, or changes direction. Acceleration is defined as any change in velocity, which includes changes in speed (both increasing and decreasing) as well as changes in direction. Therefore, all the given choices (speeds up, slows down, and changes direction) are correct explanations for when a body accelerates.

From the information given, it is stated that the speed of car A from 6 min to 10 min is 55mph. This indicates that the car maintained a constant speed of 55mph during that time period.

The cyclist is traveling at an average speed of 16 km per hour and traveling for 8 hours each day. To find the total time it will take to travel 800 km, we divide the total distance by the average speed: 800 km / 16 km/h = 50 hours. Since the cyclist is traveling for 8 hours each day, we divide the total time by 8 to find the number of days: 50 hours / 8 hours/day = 6.25 days. Therefore, the trip will take 6.25 days.

The average speed can be calculated by dividing the total distance traveled by the total time taken. In this case, the cyclist traveled a distance of 45 km in one direction and then returned home, so the total distance traveled is 2 * 45 km = 90 km. The total time taken is given as 4 hours. Therefore, the average speed is 90 km / 4 hours = 22.5 km/hr.

The formula to calculate speed is distance divided by time. In this case, the average speed of the truck is given as 70 miles per hour and the time taken to complete the trip is given as 2.6 hours. Therefore, to find the distance between the warehouses, we can use the formula distance = speed × time. Substituting the given values, we get distance = 70 miles/hour × 2.6 hours = 182 miles.

The rate of acceleration for car B from 1 minute to 5 minutes is 13.75 mph/min. This means that the car's speed increases by an average of 13.75 miles per hour every minute during this time period.

The rate of acceleration is the change in velocity over time. If the rate of acceleration is 0 mph/min, it means that the velocity of Car B did not change between minute 6 and minute 8. This indicates that Car B maintained a constant speed during this time period and did not accelerate or decelerate.

The car is traveling at a speed of 40 mph at the 4 minute mark.

The car is traveling at a constant speed of 65 miles per hour. When it hits the tree, it comes to a stop in 1.3 seconds. Since the car stops, its final velocity is 0 miles per hour. The acceleration can be calculated using the equation a = (vf - vi) / t, where vf is the final velocity, vi is the initial velocity, and t is the time taken. Plugging in the values, we get a = (0 - 65) / 1.3 = -50 m/h/s. The negative sign indicates that the car is decelerating or slowing down.

The speed of an object at any given point in time is referred to as its instantaneous speed. This term is used to describe the object's speed at a specific moment, rather than an average speed over a period of time. It provides information about the object's velocity at a precise instant, allowing for a more detailed understanding of its motion.

The rate of motion of an object that changes speed several times can be best described by calculating its average speed. Average speed takes into account the total distance traveled by the object and the total time taken, providing a measure of the overall speed over the entire journey. This is useful when the object's speed varies throughout its motion, as it provides a single value that represents the overall rate of motion.

Speed is defined as the rate of change in position. It is a scalar quantity that only considers the magnitude of the change in position and does not take into account the direction. Speed measures how fast an object is moving, regardless of the direction it is moving in. It is calculated by dividing the distance traveled by the time taken.