a ) The total length of a path covered by a particle and the magnitude of displacement over the same interval of time. ( b ) The magnitude of average velocity over an interval of time, and the average speed over the same interval. [Average speed of a particle over an interval of time is defined as the total path length divided by the time interval]. In ( a ) and ( b ) compare and find which among the two quantity is greater.  When can the given quantities be equal? [For simplicity, consider one-dimensional motion only].

Q: A automobile climbed up a hill at a conSistent speed of 55 m/s before descending at a speed of 65…

A: To determine: (a) The average speed  The time taken to travel up the hill is  t1=xv1 where x is the…

Q: (a) What is the magnitude of the average acceleration of a skier who, starting from rest, reaches a…

A:

Q: A automobile climbed up a hill at a consistent speed of 50 m/s before descending at a speed of…

A:

Q: The position coordinate of a particle which is confined to move along a straight line is given by s=…

A: Given that,The position coordinate of a particle which is confined to move along a straight line…

Q: An object moves with constant acceleration 3.70 m/s2 and over a time interval reaches a final…

A:

Q: (a) What is the magnitude of the average acceleration of a skier who, starting from rest, reaches a…

A: Given data:  Initial velocity (u) = 0 m/s Final velocity (v) = 10.0 m/s Time (t) = 2.95 s Required:…

Q: A automobile climbed up a hill at a consistent speed of 50 m/s before descending at a speed of 70…

A:

Q: You are driving home from school steadily at 95km/h from 130km. It then begins to rain and you slow…

A:

Q: (a) Sketch a graph of velocity versus time corresponding to the graph of displacement versus time…

A: (a) The formula for the velocity in terms of the position is:

Q: A particle is displaced 60 cm to the north and then is given a second displacement of 90 cm…

A: d1 = 60 cm (north)d2 = 90cm ( east)t = 2.15 secdisplacement = 602 + 902displacement = 108.166 cm

Q: A automobile climbed up a hill at a consistent speed of 50 m/s before descending at a speed of 70…

A:

Q: A particle moves in one dimension, and its position as a function of time is given by x = (2.2 m/s)t…

A: The objective of the question is to find the average velocity of a particle moving in one dimension,…

Q: A train started from rest and moved with constant acceleration. At one time it was traveling 30 m/s,…

A: (a) Acceleration

Q: A person walks first at a constant speed of 7 m/s along a straight line from point A to point B and…

A: Given: Constant speed of the person from point A to B = 7 m/s Speed of the person from point B to A…

Q: The velocity of a particle at any time t moving along an x-axis is given by the following equation:…

A: We know, The first derivative of the position vector is velocity where as the second derivative of…

Q: A automobile climbed up a hill at a consistent speed of 35 m/s before descending at a speed of…

A: Given: The speed when the automobile travels up the hill is 35 m/s.             The speed when the…

Q: ball is thrown up at 70 m/s. It goes up and then falls to its original height. (a) How long does it…

A: As per our guidelines, we are supposed to answer only first three subparts in case of multiple…

Q: One of the following statements is correct: a) The average velocity is the slope of the tangent line…

A: Instantaneous velocity is the velocity of a particle at an instant. It is the average velocity…

Q: If an object moved 40 m east in just 20 seconds and then returned to its original position taking a…

A: Given The distance travelled by an object in east direction is d1 = -40 m. The distance travelled…

Q: A automobile climbed up a hill at a consistent speed of 30 m/s before descending at a speed of 70…

A:

Q: Starting from home, you bicycle 24 km north in 2.5 h and then turn around and pedal straight home in…

A:

Q: A particle moves along one dimension with a constant acceleration of 4.30 m/s2 over a time interval.…

A: Given: The acceleration of the first particle is a1 = 4.3 m/s2 The final velocity of the first…

Q: A jogger accelerates from rest to 4.25 m/s in 2.15 s. A car accelerates from 21.9 to 41.9 m/s also…

A:

Q: (4) average velocity of the particle is half its final velocity (17. The displacement of a particle…

A:

Q: A particle moves along a line with velocity function v(t) = t²-t, where v is measured in meters per…

A:

Q: An object moves along a linear path with constant acceleration. Show mathematically that the average…

A: .Yes. An object undergoing a constant acceleration has a linearly increasing velocity. Since it’s…

Q: A automobile climbed up a hill at a consistent speed of 60 m/s before descending at a speed of 70…

A:

Q: An object moves along one dimension with a constant acceleration of 4.20 m/s over a time interval.…

A:

Q: A automobile climbed up a hill at a consistent speed of 35 m/s before descending at a speed of 45…

A:

Q: A particle moves in one dimension, and its position as a function of time is given by  x = (2.1…

A: (a) Average velocity is,

Q: Usually, Tony travels to Bunbury from Perth city in 2.50 hours. One day he increases his average…

A: a) Given data: The time required to reach Bunbury from Perth is 2.5 hours at the initial average…

Q: A horse canters away from its trainer in a straight line, moving 116 m away in 14.0 s. It then turns…

A: For the whole journey, we must calculate the average speed and average velocity.

Q: What amount of time does it take an object to come to a stop if is initially traveling at a rate of…

A: Initial velocity is Since object comes to stop so final velocity is Displacement of object is…

Q: (a) Sketch a graph of velocity versus time corresponding to the graph of displacement versus time…

A: Since the velocity is rate of change of position, when position remains constant the velocity is…

Q: A automobile climbed up a hill at a consistent speed of 55 m/s before descending at a speed of 65…

A: Let the total distance along the hill be d. Time is given by distance/velocity. (a) So, Time taken…

Q: A automobile climbed up a hill at a consistent speed of 60 m/s before descending at a speed of 70…

A: Kinematics chapter problem.

Q: A automobile climbed up a hill at a consistent speed of 30 m/s before descending at a speed of 70…

A: Numerical based on kinematics.

Q: An object moves in a plane from position r1=(-1,-2) m to the position r2=(-2,7 m and then to…

A:

Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –