If the motion of a person on skateboard is described by the equation: x = 2t + 5. Describe the motion by giving specifc values for velocity and acceleration.

Q: A horse canters away from its trainer in a straight line, moving 44 mm away in 8.5 ss . It then…

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Q: You throw an object up with an initial velocity of voy = 5 m/s from a height of y = 25 m. Part (a)…

A: Given : Initial velocity (v0y) = 5 m/s Height (yi) = 25 m

Q: A sports car driver turned his car 15.0 km [E 30.0° N], and then turned again 30.0 km [W 45.0° N] to…

A: Here car first travel = 15.0 km [E 30.0° N],then turned again travel = 30.0 km [W 45.0° N]total time…

Q: A suspicious-looking man runs as fast as he can along a moving sidewalk from one end to the other,…

A: Concept of Relative velocity: Let's assume velocity of an object "O" moving at velocity (V0) w.r.t…

Q: The acceleration of a vehicle can be represented by the following equation : ( dVldt = 2 - 0.05 V ),…

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Q: pumpkin is shot straight up with an initial speed of 5.9 m/s. What is the maximum height it can…

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Q: The displacement of a particle is given by s=4t³-67t2+103t-66 where s is in feet and t is in…

A: The displacement of the particle is given by, s=4t3-67t2+103t-66. TO DETERMINE: (a) The displacement…

Q: The motion of a particle is governed by the relation a = 4t2, where a is in m/s? and t in secs. When…

A: According to question we need to find maximum velocity.

Q: x(t) = At2/(t+B)

A: Refer attachment

Q: (ft) Given the s-t graph beside, compute for the instantaneous acceleration att = 1s and t = 2 s. s…

A: Velocity is displacement per unit time.  V = ds/dt  Acceleration is rate of change of velocity  a=…

Q: An object is descending toward the Planet X's surface (disregard air resistance). Its height is…

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Q: None

A: Step-1)Part-a)To solve for Y, we need to find the time t first.Given:- X = vt- X = 126 cm = 1.26 m-…

Q: You shoot an arrow into the air. Two seconds later (2.00 s) the arrow has gone straight upward to a…

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Q: The position of a particle is 7 (t) = (4t"a+ 6y – 2t£) m. a. Determine its velocity and acceleration…

A: r(t) = 4t2i + 6j - 2tk m

Q: On the figure beneath are displayed variations of distance, velocity and acceleration. Develop…

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Q: A position-time graph for a particle moving along the x axis is shown in the figure below. x (m) 12A…

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Q: 5 Velocity of a particle changes from (3i + 4j) m/s to (6i + 5j) m/s is 2 s. Find magnitude and…

A: Average acceleration refers to the rate at which the velocity changes.  Here, we calculate the given…

Q: We have this equation in 1D: a = d v/ d t Multiply both sides of the the equation by dx, and put…

A: These are actually steps to find v2=u2+2as Here initial velocity is 0 as we have to integrate from 0…

Q: The position-time graph that describes the motion of an object is given as in the figure below. if…

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Q: X displacement of a particle is given by s = 4t3-42t² +88t-33 where s is in feet and t is in…

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Q: A particle starts from rest at x = -2.0 m and moves along the x-axis with the velocity history…

A: Disclaimer: “Since you have asked posted a question with multiple sub-parts, we will solve the first…

Q: A squirrel has a- and y- coordinates (1.0 m, 3.5 m) at time t₁ = 0 and coordinates (4.9 m, -0.50 m)…

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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: Given the equation vf = Vị + a*t , and multiple measurements of final velocity and time, which…

A: y=mx+c m is the slope c is the y intercept

Q: The flight path of the helicopter as it takes off from point O is defined by the parametric…

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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: two people start from the same point. one walks east at 5mi/h and the other walks north east at…

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Q: A particle moves along two dimensions based on the following position vector r= [2.0 m + (3.00 m/s)f…

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Q: A robot has been programmed so that it has an acceleration given by a = 07 - Btj in the coordinate…

A: This is a question from the 2 dimensional motion of a particle, its answers can be given as…

Q: A motor car is moving with initial velocity in the x-direction at 30 m/s.  After 30 s, the car…

A: Write the given values with the suitable variables. v1=30 m/st1=30 sv2=10 m/st2=12 st3=10 s Here,…

Q: An object has a displacement s at time t given by the equation: s = 5√t - 3t^3. What is the…

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Q: Make a motion chart for a cannonball launched with an initial speed of 20m/s. Neglect drag and the…

A: initial velocity of the ball, u=20 m/s this ball will face a downward acceleration due to gravity at…

Q: The figure here shows the speed v versus height y of a ball tossed directly upward, along a y axis.…

A: Given : d = 0.37 m vB = vA/3

Q: The displacement of a particle is given by s= 5t³-83t² + 120t-43 where s is in feet and t is in…

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Q: What is the negative, real value of x that solves this equation? 4x²-13 = -2x² + 7x

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Q: a car moves along expressed as: S = 4+4 -3+² +8 2 a path where s is in meters while t seconds. what…

A: motion of car along a path is given by : s = 4t4 -3t2 + 8

Q: The velocity of a car is given by the following graph/function: v(t) v(t) = 1.5+0.8t – 0.01t³ Where…

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Q: A car slows down with an acceleration that has a magnitude of 3.3 m/s². While doing so, it travels…

A: CONCEPT: Given, Distance traveled by car S=109 m Final velocity  v=7.5 m/s Acceleration a=-3.3 m/s2…

Q: a ball is thrown straight up.  what is the velocity and acceleration of the ball at the highest…

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Q: Aride at an amusement park has malfunctioned. It Steadily lowers riders from the top of the 60 m…

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Q: Lydia fired a model rocket vertically upward into the air. Granh A

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Q: Q 10. A car travels 15 km in 1 hour, what is its average velocity. A. 10 m/sec B - 4.16 m/sec C- 2…

A: Given , total displacement by the car (s) = 15 km And total time taken (t) = 1 hour Please go…

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 –