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Speed is a scalar, velocity is a vector and so the direction of motion is important for velocity.
Total distance travelled = 3km + 4 km = 7 km
Total time taken = 3/5 hours + 4/3 hours = (9+20)/15 = 29/15 hours
Average speed = 7 / (29/15) = 7*15/29 = 3.6207 km per hour.
Final location = 3 km E + 4 km N = 5 km away from the starting point (by Pythagoras)
in the direction 53.13 degrees = arctan(4/3).
So average velocity = 5 / (29/15) = 5*15/29 = 2.5862 km per hour in the direction given above.
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Which physical quantity is calculated by the slope of distance time graph?
The radial velocity ie velocity towards or away from your starting point. It is NOT the ordinary speed or velocity because you can run in a circle around your starting point at top speed but the distance will not change so the slope of the distance time graph will be zero.
What does the slope of distance vs Time graph indicate about an object motion?
It is a measure of the component of the velocity of the object in the direction towards or away from the reference point (the origin). It takes no account of the object's velocity in the transverse direction. It is, therefore, not a measure of the object's speed or velocity. For example, the distance of an object going around in a circle about the origin is a constant. So the slope of the distance vs time graph will be 0. But the speed of the object is NOT 0 (nor is its velocity 0).
What is the physical property represented by the slope of a distance time graph?
The velocity. To convince yourself, consider the units of the slope. Slope = rise/run = vertical/horizontal= distance/time=units of velocity. Alternately, consider the meaning of the graph. Where the slope is high, the distance is changing fast over a small time - high velocity.
Mr Hoffmana science teacher drove 10 miles to school in 20 minutes He drove the 10 miles home in 30 min His average velocity was?
Well, speed is equal to distance over time (s = d/t) However, velocity means speed WITH direction. This means that the teacher's drive to school would be a positive velocity, but the drive back would be a negative one. Now, let's calculate velocities using the s = d/t formula! Distance to school from home: speed = distance/time speed = +10 miles/20 minutes speed = 1/2 miles per minute Distance from school to home: speed = distance/time speed = -10miles/20 minutes speed = -1/3 miles per minute Note: the velocity towards home will be negative since we are travelling in the opposite direction of the distance to school (which is positive) We have our two velocities- let's calculate the average! 1/2 -1/3 = 1/6 1/6 divided by 2 = 1/12 Thus, our average velocity is 1/12 miles per minute! You can convert this into decimal values if required. Hope this helped! (:
What two pieces of information do vectors tell us?
A vector includes information about a magnitude, and a direction. For example, a velocity of "30 km/hour, towards the north-west".A vector includes information about a magnitude, and a direction. For example, a velocity of "30 km/hour, towards the north-west".A vector includes information about a magnitude, and a direction. For example, a velocity of "30 km/hour, towards the north-west".A vector includes information about a magnitude, and a direction. For example, a velocity of "30 km/hour, towards the north-west".
Which physical quantity is calculated by the slope of distance time graph?
The radial velocity ie velocity towards or away from your starting point. It is NOT the ordinary speed or velocity because you can run in a circle around your starting point at top speed but the distance will not change so the slope of the distance time graph will be zero.
What does the slope of a line on a distance-versus-time graph show?
It shows the speed of an object in a direction towards or away from the reference point. This is not the speed of the object because any motion in a transverse direction is ignored. For example, even if a racing car is going at top speed around the reference point on a circular track, the distance v time graph will be a horizontal line. The slope will be zero.
How do you calculate the velocity of the boat relative to shore?
To calculate the velocity of the boat relative to the shore, you would subtract the velocity of the shore from the velocity of the boat. This difference will give you the boat's speed and direction with respect to the shore.
Define drift velocity?
Drift velocity is the average velocity with which charged particles, such as electrons, move in a conductor in the presence of an electric field. It is a very slow velocity due to frequent collisions with atoms in the material. Drift velocity is responsible for the flow of electric current in a circuit.
What does the slope of distance vs Time graph indicate about an object motion?
It is a measure of the component of the velocity of the object in the direction towards or away from the reference point (the origin). It takes no account of the object's velocity in the transverse direction. It is, therefore, not a measure of the object's speed or velocity. For example, the distance of an object going around in a circle about the origin is a constant. So the slope of the distance vs time graph will be 0. But the speed of the object is NOT 0 (nor is its velocity 0).
The tangential velocity of an Earth satellite is its velocity?
The tangential velocity of an Earth satellite is its velocity perpendicular to the radius vector pointing towards the center of the Earth. It represents the speed at which the satellite is moving along its orbital path. This velocity is crucial for maintaining the satellite's orbit and is calculated using the satellite's distance from the center of the Earth and gravitational force acting upon it.
What variable does slope represent in a velocity vs time graph?
The Physical quantity that the slope of velocity time graph show is:negative acceleration otherwise retardation.If the velocity of the body is decreasing then the body is said to have negative acceleration (-ve) or retardation.u>v
What is the physical property represented by the slope of a distance time graph?
The velocity. To convince yourself, consider the units of the slope. Slope = rise/run = vertical/horizontal= distance/time=units of velocity. Alternately, consider the meaning of the graph. Where the slope is high, the distance is changing fast over a small time - high velocity.
Why velocity of flow will decrease with increase in peripheral speed of francis turbine?
the peripheral velocity of the turbine is the around velocity. the increase in the velocity of the peripheral will decrease the velocity of the flow towards the turbine
Mr Hoffmana science teacher drove 10 miles to school in 20 minutes He drove the 10 miles home in 30 min His average velocity was?
Well, speed is equal to distance over time (s = d/t) However, velocity means speed WITH direction. This means that the teacher's drive to school would be a positive velocity, but the drive back would be a negative one. Now, let's calculate velocities using the s = d/t formula! Distance to school from home: speed = distance/time speed = +10 miles/20 minutes speed = 1/2 miles per minute Distance from school to home: speed = distance/time speed = -10miles/20 minutes speed = -1/3 miles per minute Note: the velocity towards home will be negative since we are travelling in the opposite direction of the distance to school (which is positive) We have our two velocities- let's calculate the average! 1/2 -1/3 = 1/6 1/6 divided by 2 = 1/12 Thus, our average velocity is 1/12 miles per minute! You can convert this into decimal values if required. Hope this helped! (:
What are the advantages of velocity time graph?
Velocity-time graphs provide a visual representation of an object's velocity over time, making it easy to interpret the object's motion. They can help identify changes in velocity, determine acceleration or deceleration, and calculate distance traveled. Comparing multiple velocity-time graphs can also help analyze and compare the motion of different objects.
How can you tell if an object is accelerating in a distance versus time graph?
The slope of the line of a distance versus time graph is the velocity of the object. If this is a constant, in other words the graph is a straight line, the object is not changing its velocity and so is not accelerating. If the object is accelerating, the velocity of the object will be changing, thus the graph will not be a straight line, but a curve - the amount of curvature (and direction) tells you how much the object is accelerating (and in what direction - velocity and acceleration are vector quantities with both magnitude and direction).
