An object moves in along the x-axis with an acceleration given by: a = 5t2 + 10t (m/s2). The velocity at t=0.0 s is 3 m/s. Calculate the velocity at t=7 s.

Q: A bus travels 2.0 x 102m with a constant acceleration of magnitude 1.6 m/s2. How long does the…

A: Given   Distance d= 2*10² m Acceleration=a =1.6 m/s² Vi = initial velocitt = 8.0 m/s

Q: The velocity of a particle travelling along the a straight line is v= (3t²-6t)m/ s, where t is in…

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Q: A particle’s velocity along the x-axis is described by v(t) = A t + B t2, where t is in seconds, v…

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Q: the grou by n = 2.7st, where his in meters and is in seconds. At after its release does the mailbag…

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Q: v (m/s) 4 2 2 3 t(s)

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Q: At time t = 0 s, an object is observed at x = 0 m; and its position along the x axis follows this…

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Q: The acceleration of a particle is given by a = 2t - 28, where a is in meters per second squared and…

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Q: The motion of 3 particle is defined by the refation x = 5t4 ~ 4t3 +3t ~ 2, where x and t are…

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Q: The velocity of an object moving along the x-axis is given in m/s by v(t) = t2 − 6t + 8, where t is…

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Q: If v_0=2 km/s, and v2=4 X 106 m2/s2, what is a (acceleration in m/s2) at any time t?

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Q: In 3.2 s, a particle moving with constant acceleration along the x axis goes from x = 31 m to x = 51…

A: Initial position of particle is, x0=31 m Final position of particle is, x=51 m Time taken by…

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: 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: A particle is moving along a straight line such that its acceleration is defined as a(v)= -6v m/s2,…

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Q: A bicycle, initially located xo = 2.3 m at time t-D0 seconds, has a velocity at time t given by v =…

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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: The position of an object as a function of time is given by x = bt2 – ct where b = 2.0 m/s? and c =…

A: Given  x=bt2-ct

Q: At time t = 0, a particle has a velocity of m a(t) v = 4.00. The following graph shows the particles…

A: Dear student The area under acceleration- time graph gives us the total change in velocity of the…

Q: A particle is moving along a straight line with the acceleration a=12t-4t1/2 ft/s2, where t is in…

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Q: The figure gives the acceleration a versus time t for a particle moving along an x axis. The a-axis…

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Q: A particle moves along a straight line with acceleration defined by a = (2t -9) m/s2, where t is in…

A: Using formula a=rate of changes in velocity=(dv)/(dt) to find velocity expression in term of time…

Q: The acceleration of a particle is given by a- 2t- 17, where a is in meters per second squared and…

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Q: A particle moving along the x-axis has its velocity described by the function v_x =2t2m/s=2t^2m/s,…

A: Given data: Velocity function of particle  V = 2t2 m/s Initial position x0 = 2.8 m at t = 0 s

Q: A student walks to the right, 25 meters along the hallway in15 seconds. The student turns around and…

A: Given data:  Displacement (d1) = 25 m, to the right Time (t1) = 15 s Displacement (d2) = 15 m, to…

Q: The velocity of a particle which moves along the s-axis is given by v = and v is in meters per…

A: To determine: The position, velocity and acceleration of the given particle which moves along the…

Q: Starting from rest, a particle moving in a straight line has an acceleration of a = (2t−6)m/s^2 ,…

A: Given data: Acceleration a =2t-6 ms-2 Time t= 6s To determine Position at Time t = 11 s

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: 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: 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: The graph shows the speed v(t) of a particle moving only on the x axis, measured in meters. For t=0…

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Q: A cart is given an initial velocity of 7.6 m/s and experiences a constant acceleration of 7.6…

A: Given   Initial velocity (u) = 7.6 m/s Acceleration (a) = 2m/s2 Time (t) = 8sec

Q: A particle moves along the x-axis according to the equation x = – 2t3. Calculate the average…

A: position of particle is given by : x = - 2t3we know that , velocity = dx/dt  = d(-2t3)/dt  = - 6t2

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: A kicker kicks a football upward from the ground at an initial velocity of 63 feet per second. The…

A: Given: u=63ft/s, d=70ft (a) The trajectory of the football is found by : h=ut+12gt2 At the highest…

Q: The acceleration of a particle moving along a straight line is a = (11 - 1.0s) m/s², where s is in…

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Q: n ant moves with a uniform acceleration. It has a velocity of 12.0 cm/s in the positive x direction…

A: The velocity is always changing; there is always nonzero acceleration and the problem says it is…

Q: The displacement of a particle is given by s= 2t3-42t² + 120t - 68 where s is in feet and t is in…

A: Given that: The displacement of the particle is s = 2t3-42t2+120t-68 The time is given as: t1=3.3…

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 –