A train is moving up a steep grade with constant velocity. The caboose breaks loose and starts rolling freely. After 4.12 seconds, the caboose is 36.6 meters behind the train. What is the magnitude of the acceleration of the caboose in m/s2?

Q: A particle moves along the x-axis according to the equation x(t) = 2.0 − 4.0t2 m. What are the…

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Q: A particle confined to motion along the x axis moves with constant acceleration from x 2.0 m to x…

A: Given data:  Displacement (d) = 6.0 m Time (t) = 2.5 s Final velocity (v) = 2.8 m/s Required:…

Q: A snowboarder starts from rest at the top of a double black diamond hill. As she rides down the…

A: Given: The displacement equation is x=0.5t3+t2+2t.

Q: 67. mmh A snowmobile moves according to the velocity-time graph shown in the drawing. What is the…

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Q: A snowboarder on a slope starts from rest and reaches a speed of 2.4 m/s after 7.1 s. (a) What is…

A: Given data:  Initial velocity (V0) = 0 m/s Final velocity (V) = 2. 4 m/s Time (t) = 7.1 s

Q: The position of a particle moving in one dimension along the x axis is given by x(t) =5.5 + 7.8t +…

A: x(t) = 5.5+7.8t+2.1t2velocity :V = dxdtV = 7.8 +2(2.1)tV(t) = 7.8+4.2t m/s

Q: A treasure hunter follows a map moving 85 km [N], 37 km [W 55° S], 63 km [S 65° E] and finally 15 km…

A: a) average speed = distance/time  time (t) = distance / average speed  t = (85+37+63+15)/45  t =…

Q: Experimental data for the motion of a particle along a straight line yield measured values of the…

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Q: U, (m/s) 12.0 8.00 4.00 t (s) 2.00 4.00 6.00 8.00 10.0 12.0 A gazelle is running in a straight line…

A: The acceleration of the object is the rate of change of velocity. So the acceleration is the slope…

Q: A cart is given an initial velocity of 5.0 ms and experiences a constant acceleration of 2.0 m's.…

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Q: An object starts at the origin with an initial velocity of v0 = 10.0 m/s i + 15.0 m/s j. The object…

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Q: A car has an initial velocity of 18.4 m/s and a constant acceleration of 9.2m/s^2. What is the…

A: Given that - Initial velocity of the car Acceleration of the car  Time To Find - We have to…

Q: An object's position in the x-direction as a function of time is given by the expression; x(t) =…

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Q: A plot of position versus time is shown below for an object in linear motion. (a) What are the…

A: Given: From Graph, Position at A= 1.0 m Time at A=1.0 s Position at B= 1.0 m Time at B=1.0 s…

Q: An object has a position as a function of time given by: R = (2t4) i + (9t3 + 2t) j What is the…

A: An object has a position as a function of time given by: R = (2t4) i + (9t3 + 2t) j We need to find…

Q: +50.0 +40.0 +30.0 A +20.0 +10.0 0.5 1.0 1.5 2.0 2.5 3.0 Time (h) Position x (km)

A: The given values with suitable variables are listed below. Here, xiA denotes the initial position…

Q: A motorcycle ride consists of two segments. During segment 1, the motorcycle starts from rest, has…

A: Given information: The acceleration of the motorcycle in segment 1 is, a1=1.5 m/s2 The displacement…

Q: A bus makes a trip according to the position-time graph shown in the drawing. What is the average…

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Q: Miguel rode his bicycle in a northeast direction. He left his house at noon, He traveled a distance…

A: Total distance travelled d = 4.0 Km = 4000 m Miguel left his home at noon (12:00 PM) and finished…

Q: A car moves according to the velocity-time graph shown in the drawing. What is the car's average…

A: Slope of velocity time graph gives the acceleration.

Q: A toy car is moving at 13 cm/s when it begins accelerating at 1.4 cm/s2. If the acceleration is…

A: Write the given values with the suitable variables. u=13 cm/sa=1.4 cm/s2s=27 m Here, u is the…

Q: To start an avalanche on a mountain slope, an artillery shell is fired with an initial velocity of…

A: Acceleration of shell will be equal to acceleration due to gravity in downward direction. So,…

Q: A monitor lizard crawls along a straight line, which we will call the x-axis with the positive…

A: The velocity and position are related as v = dxdt, where x is position as a function of time. The…

Q: A bus makes a trip according to the position-time graph shown in the drawing. What is the average…

A: Calculating the average velocity for part a:

Q: Person who walks for exercise produces the position-time graph given with this problem. Without…

A: Velocity (v ) is defined as the ratio of displacement (∆s) to the time taken (∆t), that is ,…

Q: 50.0 40.0 30.0- 20.0 10.0- 0.004 0.00 5.00 10.0 15.0 20.0 25.0 time (s) What is the acceleration for…

A: Given data The initial velocity of the body in section D is u = 40 m/s. The final velocity of the…

Q: A particle's position varies with time given by the following equation: x(t) = 35.2[m] +…

A:

Q: A skater on Ottawa’s Rideau Canal travels in a straight line 8.5 3 102 m [25° N of E] and then 5.6 3…

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Q: Q(24) A stone is thrown straight up with an initial speed of 25 m/s. What is the magnitude of the…

A:

Q: The motion of a particle along the x-axis is described by the equation v= (3m/s2)t + (0.5m/s3)t2…

A:

Q: The velocity of a particle is given by the equation v = 5.0t-0 60 (in m/s). Which of the following…

A: Given V = 5.0 t - 0.60t2 We have to find the correct graph between v-t

Q: A particle moving along the x axis has a position given by x = (24t - 2.0t³) m, where t is measured…

A: The magnitude of the acceleration of the particle at the instant (t = 2 sec) when velocity is zero…

Q: The equation x(t) = 2.0 − 4.0t2m describes the motion of a particle that moves along the x-axis.…

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Q: The motion of a particle is given by x = A sin3(ωt). Enter an expression for the particle's…

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Q: A bus makes a trip according to the position-time graph shown in the drawing. What is the average…

A: Given:

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

A: Given:

Q: The coordinates (in meters) of a rabbit’s position as functions of time t (in seconds) are given by:…

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Q: The graph shown depicts the velocity of an object along the x axis as a function of time. Vx 2t 3t…

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Q: The graph depicts an particle's velocity (in the x-direction) vs. time. At which points is the…

A: The acceleration in a velocity time graph is represented as the slope of the graph at that point.

Q: time(s) position (cm) 0 49.0 5 38.0 10 43.0 15 40.0 20 60.0   A. What is the…

A: Tofind: From the data given in the table, we are required to calculate displacement, average…

Q: 67. mmh A snowmobile moves according to the velocity-time graph shown in the drawing. What is the…

A: Required  Average acceleration in A, B and C

Q: A particle moves along the x axis. Its position as a function of time is given by x(t) = 4.5t² +…

A:

Q: A jet is taking off from the deck of an aircraft carrier, as the figure shows. Starting from rest,…

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

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Q: This graph shows the position of a particle as a function of time. What is its instantaneous…

A:

Q: A snowboarder starts from rest at the top of a double black diamond hill. As she rides down the…

A: x = 0.5 + t2 + 2t

Q: A plane lands on a runway with a speed of 130 m/s, moving east, and it slows to a stop in 12.0 s.…

A: Given data: Initial velocity (Vi) = 130 m/s, towards East Final velocity (Vf) = 0 m/s Time (t) =…

Q: If a particle’s position is given by the expression x (t) =3.4(t²− 2x −8)³ − 5.4(t²− 2x −80)²+12)…

A: Velocity v= 51(25-2x-8)^2-108(25-2x-80) m/s.

Q: The velocity time graph of runner is given in the graph. (a) What is the total distance covered by…

A: a) Total distance covered by the runner in 16 s: Using graph we can find the total distance as…

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 –