Given the following height-time graph, when will the ball move the fastest?

Q: A skier skis down a long, straight hill, through a short valley, and then back up a hill on the…

A: Let the skier apply force Fapp to ski down and the back up the hill.

Q: Which of the following position - time graph represents accelerated motion?

A: The displacement equation of accelerated motion is , s=ut+at22 where,  a=accelerationu=initial…

Q: (Velocity – Time Graph

A: Velocity - Time Graph 1st part u = initial velocity = 0 a = acceleration = 4m/s2 t = time= 3 sec…

Q: The gradient of velocity versus time graph is equal to

A: The gradient of velocity versus time graph is equal to the  acceleration.

Q: A cyclist starting from rest accelerates uniformly at 1.5ms-2 for 4s and then travels at constant…

A: Given data: Uniform acceleration a=1.5 m/s2 Initial velocity u= 0m/s time t=4s

Q: From the graph of the motion shown, which of the following statements is correct?

A: The velocity and position are related as v = dxdt, where x denotes the position of the body dxdt is…

Q: Slope of a velocity – time graph gives (a) the distance (b) the displacement (c) the acceleration…

A: The slope of any graph is the reading of the y axis divided by the x axis. Here the y axis…

Q: In a race, Paul starts running from rest at a constant acceleration of 3.5 m/s, He is running in a…

A:

Q: Find the average velocity over the time interval from 5 to 15 seconds. Express your answer in meters…

A: Given data:  From the graph Initial position at t = 5 s (xi) = 20 m Final position at t = 15 s (xf)…

Q: The position vs time graph of a moving body is shown What is the velocity of the car during the…

A: Slope of position-vs-time graph gives instantaneous velocity.   Hence, from above graph it can be…

Q: A ball is dropped from a height of 90 m on a floor. At each collision with the floor, the ball loses…

A: Let the height from which the ball is initially dropped be denoted by h1.Use the third kinematic…

Q: Based on this diagram, the acceleration of the object?

A: the forces are acting on the object are , Normal reaction force, gravitational force, centeripetal…

Q: The position of a moving object was measured and furious times and the results are shown in the…

A:

Q: Assume the velocity of a person traveling along a straight hiking trail is given by the graph. The…

A: Area under velocity time graph is displacement. Here we will get displacement in east direction,…

Q: A ball is thrown vertically upward. Sketch the position-time and velocity –time graphs for the ball.…

A: When the ball is thrown vertically upwards, the ball is having only vertical component of velocity…

Q: The figure below shows a position vs. time graph of a certain object. Which statements about the…

A: The figure shows the position vs time graph of a certain object. The slope of graph dy/dt gives…

Q: This is the x-t graph for an object moving along the x-axis. Which of the following descriptions of…

A: In this question we have to analyze the given graph of position v/s time and answer accordingly.…

Q: The motion of a particle is described in the velocity vs. time graph shown in the above figure. Over…

A:

Q: Consider the following Velocity vs Time graph shape. Select all the descriptions that match assuming…

A:

Q: The graph shows the velocity of an object along a straight line plotted against time. Describe the…

A: The graph shows that the velocity of the object from 0 second to 3 second is constant at a rate of…

Q: The graph below shows the position of an object as a function of time.

A: Velocity is the slope of position vs. time graph. Hence, from above graph it can be inferred that:-…

Q: The equation below describes the position of a particle in a rectilinear path, where x is in…

A: The position of a particle in a rectangular path is given by : S = x3 - 6x2 - 15x + 7 where x is in…

Q: Object A is released from rest at height h. At the same instant, object B is thrown downward from…

A: Please see the answer below

Q: Consider the graph of the velocity versus time below This graph relates to the motion of a cart on a…

A: The slope of the velocity-time graph is acceleration of the object. If the slope of the graph is…

Q: A very bored and careless person fired a bullet into the block shown. The bullet lodges into the…

A:

Q: The graph below shows the position of an object as a function of time. position time Rank the…

A: we know that Velocity is the slope of position vs. time graph. Hence, from above graph it can be…

Q: . Calculate the average velocity of the object shown in the graph below over the whole time…

A: The initial position of the object s1=2.5 m The final position of the object s2=20 m The change in…

Q: The motion of an object is depicted by the velocity-time graph below. During which time interval(s)…

A:

Q: Which velocity-time graph or graphs is correct?

A: Correct answer is option C. Explanation is in next step .

Q: How would the velocity-time graph best represent the velocity of this object over the same 10 second…

A: Given data: The time interval is t=10 s. The position-time graph.

Q: The figure shows a graph of the position as a function of time for a basketball player traveling up…

A: In path A:  The basketball player jumps up with some constant velocity(because the slope of path A…

Q: Which position versus time graph would best correspond to the v, versus time graph shown below?

A: The object’s velocity is the rate of the change of the object’s distance with respect to time.

Q: Find the car's average velocity for the following time intervals: Time interval [1,3] feet/ second…

A: The average velocity between the time interval [1,3] is,   v=x3-x1t3-t1v=71 feet-16 feet3 seconds-1…

Q: The graph below shows the velocity of an object as a function of time:

A: Given data: The graph between velocity and time Required: The distance traveled from origin to C

Q: What was the total displacement for the complete trip? What is the average speed for the complete…

A:

Q: Two horses start from rest and are 70m apart. Horse 1 has an acceleration of 0.2m/s^2 and horse 2…

A: Two horses start from rest and are 70m apart. Horse 1 has an acceleration of 0.2 m/s2. horse 2 has…

Q: The motion of a bicycle rider moving in a straight line is shown in the graph below. At what time…

A: acceleration is the slope of v-t graph

Q: Use the POSITION vs time plot shown here. Choose the phrase that accurately describes the person's…

A: We can see that we get a straight line during the interval 5s to 7s. we know that the speed of the…

Q: The motion of an object is depicted by the velocity-time graph below. During which time interval(s)…

A: If the time rate of change of velocity is zero, the velocity is said to constant.

Q: The following graphs show velocity-time graph of different objects moving in straight line paths as…

A:

Q: The motion of an object is depicted by the velocity-time graph below. During which time interval(s)…

A:

Q: Which of the following graph shows an object’s velocity is constant and negative? Which of the…

A:

Q: Horatio jogs up a hill at a steady pace. He then accelerates as he goes down the hill. Shortly…

A: The slope of a velocity graph is the acceleration.

Q: Which of the following is the correct velocity-vs-time graph?

A: A positive velocity means , the object is moving in a positive direction(in this case ,suppose…

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 –