If a particle's position is given by the expression x(t) = 3.4t³- 5.4t meters, what is the acceleration of the particle at t = 5 s?

Q: Sam is walking along a trail when he comes to the bottom of a steep cliff. Before trying to climb up…

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Q: osition of a particle that moves along an x axis is given by x = 2.00+2 + 4.00t + 30.0, with x in…

A: Givenx=2t2+4t+30

Q: The position of a particle is given by the expression x = 2.00 cos (2.00rt + x), where x is in…

A: Given that expression for the position of the particle Is x = 2.00 cos ( 2.00 π t + π) m Here x is…

Q: A particle moves along a straight line such that its position is defined by s=(4t^3 + 5t^2 -12t…

A: We are given position of a particle as function of time. The motion is in a straight line that is 1D…

Q: In m/s?, what is the acceleration when t = 7.5 sec? Express your answer as an integer, not as a…

A: The acceleration at a time in velocity-time graph represents the at that time.

Q: In 2.2 s, a particle moving with constant acceleration along the x axis goes from x = 19 m to x = 56…

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Q: A toy car starts at rest and accelerate up a 40" ramp with acceleration a=√(t^3). It then flies into…

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Q: A particle's position along the x-axis is given by the equation;   x(t) = 1t^4 − 2t^1 + 8 where ?x…

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Q: A particle moves along the x axis. Its position is given by the equation x = 2.5 + 2.6t - 3.5t-with…

A: Position of a particle is given by : x = 2.5 + 2.6t - 3.5t2Velocity of the particle is given by : v…

Q: Tectonic plates are large segments of the Earth's crust that move slowly. Suppose that one such…

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Q: If the velocity of an object is given by V = 9* t*2.1*t* +7, when x0 = 4, what is its displacement…

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Q: What is the speed of the rock just before it hits the street?

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Q: The position of a particle moving along the x axis is given by x(t) = 2.8t2 - 3.5t3, where x is in…

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Q: A ball rolls off a 1.8 m high table with an initial speed 3.5. When it hits the ground, how far…

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Q: The velocity of a particle along the s-axis is given by v = 4s3/2 where s is in millimeters and v is…

A: velocity of a particle along the s-axis is given by  v = 4s3/2 to find acceleration a a=vdvds v  is…

Q: The displacement of a particle is given by s = 3t° - 42t2 + 109t - 39 where s is in feet and t is in…

A: Given:  The displacement of the particle (s) is s=3t3-42t2+109t-39 The rate of change of…

Q: An annoying spider strolls nonchalantly from an initial position of r; = (-35.5i + 45.0j) cm to a…

A: (given) Initial position of spider rolls = (-35.5 i + 45.0 j) cm   Final position of spider rolls =…

Q: The graph shows the displacement, Ax, of a walking man as a function of time. 2. 12 8 (m) 4 4 6. t…

A: Given Displacement time graph of an object Concept Velocity = Rate of change of displacement…

Q: An object undergoes acceleration 2.3i +3.6j m/s² for 5.9 s at which time its velocity is 33i +15j…

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Q: A hovercraft, initially moving at 24 i ^ m/s, undergoes a constant acceleration of -3.4j ^ m/s2.…

A: The kinematic equation of motion for the displacement of the particle is given by Where  =…

Q: A helicopter is ascending vertically with a speed of 5.21 m/sm/s . At a height of 102 mm above the…

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

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

A: Given:  a velocity time graph

Q: The position of a particle moving along the x axis is given by x(t) = 7t² - 1.7t³, where x is in…

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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 –