The motion of a particle along a straight line is represented by the position versus time graph to the right. At which of the labeled points on the graph is the magnitude of the acceleration of the particle greatest?    a A  b C  c B  d D  e E

Q: Draw (a-t), (v-t), (s-t) graphs of a particle that has a constant acceleration of 9 m/s² for six…

A: From the Laws of Motion, we know that, Vf-Vi=at , where a is the acceleration at time t. And also…

Q: You stand at the top of a deep well. To determine the depth, D, of the well you drop a rock from the…

A: Given:- t = 3.1 sec vs = 336 m/s Distance travelled by sound in upward direction equals the distance…

Q: The position vs. time graph of a moving particle for a time interval of 23 seconds is shown below.…

A: 1) Displacement is defined as the difference in the initial and final position. From the above…

Q: Runner A is initially 5.0 miles west of a flagpole and is running with a constant velocity of 3.5…

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Q: The following diagram shows the motion of a person along a straight horizontal path which is divided…

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Q: A particle moves along the X-avis. Rs position-time graph is shown below. The magnitude of the…

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Q: A particle starts at the origin (x = 0) and moves in one dimension. The figure shows the velocity of…

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Q: Shown below is the velocity vs. time graph for a particle's one-dimensional motion. v (m/s) t(s) W…

A: Acceleration is the rate of change of velocity with respect to time. So, if velocity and…

Q: he velocity vx (in m/s) of an object is given by the equation vx = 4t + 3, where t is the time in…

A: Equation of velocity of object is; vx=4t+3 Part A: Displacement of object is calculated by…

Q: (Figure 1) shows the velocity graph of a particle moving along the x-axis. Its initial position is o…

A: Solution:Given:See the graph. x0 = initial position at t0 = 2.0 mt0 = particular time instant = 0…

Q: The velocity-versus-time graph shown below corresponds to a cyclist moving alo cyclist from t= 0 s…

A: Solution: From the graph

Q: You are traveling in space in a straight line represented by the velocity time graph below At time…

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Q: A graph of position versus time for a certain particle moving along the x-axis is shown in the…

A: given -    position vs time graph

Q: A student begins at rest and then walks north at a speed of v1 = 0.55 m/s. The student then turns…

A: Given: Speed v1 = 0.55 m/s along north direction Speed v2 = 0.53 m/s along south direction Taking…

Q: ou are driving a car on a straight road when you spot a desert tortoise walking across the road in…

A: Concept used: Equations of motion can be used to solve above problem. Graphically, area under…

Q: An object has the acceleration graph shown. Its velocity at t = 0 s is νx = 2.0 m/s. Draw the…

A: The acceleration time graph is given, and at t= 0s the initial velocity vx = u= 2 m/s. Now at t=0s,…

Q: The figure below shows the velocity-time graph (in red) of a particle that moves along the x-axis. 7…

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Q: The figure shows a distance versus time graph for an object. d

A: slope of distance vs time curve gives  velocity

Q: A person is walking briskly in a straight line, which we shall call the x axis. The figure shows a…

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Q: A particle moves in a straight line with a constant acceleration of 24 ft/s² for 6s, zero…

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Q: An object’s position as a function of time is x(t) = 9 m + 1.5 m/s t– 3 m/s^2 t^2 a. Calculate the…

A: Given  x(t)=9 + 1.5t- 3t2 Now We find velocity and acceleration as a function of time…

Q: An athlete is training on a 100 m long linear track. His motion is described by the graph of his…

A: Write the expression for the velocity of each segment.

Q: A car is waiting at an intersection. When the traffic light turns green, the car starts moving.…

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Q: The velocity of an object as a function of time is given by v(t) = b + ct - et², where v and t are…

A: Data we have v(t)=b+ct-et2 To find instantaneous acceleration when t=0.63s

Q: The figure shows the acceleration-versus-time graph of a particle moving along the x-axis. Its…

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Q: Chris stands on top of a giant rock outcrop, 250 feet above the ground. Chris throws a grapefruit…

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Q: distance (m) time (sec) 0 0 25.9 51.8 77.7 104 10.1 14.3 17.5 20.2 Midpoint change in time (sec)…

A: Midpoint velocity is change in distance divided by change in time. Table. distance (m) time (sec)…

Q: Draw motion diagrams (S-t,v-t,a-t) for: (Numeric values on axis are not required) a) an object…

A: Since we only answer up to 3 sub-parts, we'll answer the first 3, please resubmit the question ad…

Q: A particle starts from rest at x = -3.4 m and moves along the x-axis with the velocity history…

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Q: Which velocity graph shows the car moving toward the left (toward the origin) at a steady (constant)…

A: The car moves in left side, So the velocity of the car is must be in Nagative: So, Either Option B…

Q: A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10…

A: The distance traveled in the original direction is given by: distance = speed x time = 640 mi/h x…

Q: According to the position vs. time graph, a motorist drives his motorbike in a straight line. What…

A: Given data:  From graph  Initial position at t = 3s x0 = 16 m Final position at t = 6s x = 36 m…

Q: When is the bee farthest from the hive? How far is the bee at its farthest point from the hive? At t…

A: The velocity-time graph is the plot of the velocity of an object against time. The velocity-time…

Q: A graph of the velocity as a function of time for a particle moving along the x-axis is seen below.…

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Q: A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10…

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Q: You are observing the poles along the side of the road. You have already stopped and measured the…

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Q: Determine velocity at A , B and C, of an object moving as in the figure ? The name, username and…

A: The mathematical expression for calculating the velocity is given as  v=distance travelled time…

Q: 1. The following graph displays the position of an object versus time. x(t) 2 (m) 2 ▬▬▬▬▬▬▬▬▬▬ 4 6 8…

A: The position versus time graph is given for an object in motion The position in units of meter are…

Q: A toy train is moving around a circular track of diameter 120 cm. Imagine it starts at the most…

A: The first step is to calculate the circumference of the circular track. The formula for the…

Q: The graph at right shows velocity vs. time. The particle at t=0 was positioned at Xo = 15. What is…

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Q: plane lands on a runway with a speed of 135 m/s, moving east, and it slows to a stop in 14.0 s. What…

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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 –