Derive a formula that relates the displacement, final velocity, time and constant acceleration of an object in UARM (Uniformly Accelerated Rectilinear Motion). Use that formula to find the time it takes for a particle to attain a velocity of 30 m/s, given that the constant acceleration is 6 m/s^2 and the particle's displacement is 25m to the left of the origin.

Q: object travels at a constant velocity of 10 m/s north in the time interval from t = 0 to t = 8 s.…

A: Displacement = velocity × time

Q: A particle moving along a straight line such that when (t = 0), the position (S = 8 m) and the…

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Q: An object is thrown straight upward with an initial velocity of 13.1 m/s. What's the object's…

A: The expression for the required displacement is,

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A: a=dvdt = -0.8v ln(v/u) = -0.8t v= ue-0.8t u=1m/s (given) v=e-0.8t v= dxdt =e-0.8t x= e-0.8t /(-0.8)…

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Q: An object's position as a function of time in one dimension is given by the expression; x(t) = 4.7t?…

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Q: The velocity function, in feet per second, is given for a particle moving along a straight line.…

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Q: The velocity of an object moving along a line is given by v = 2t2 + 5 ft/s on the interval 0sts4. a.…

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Q: The position of a particle moving along an x axis is given by x = 16.0t² - 5.00t³, where x is in…

A: The given position function is, x=16t2-5t3 The position at t = 6 s is, x6=1662-563x6=576-1080x6=-504…

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A: Basic Details The average velocity is the ratio of total distance covered to that of the total time…

Q: A particle's position is given by x = 6.00 - 15.00t + 3t², in which x is in meters and t is in…

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Q: An object's position as a function of time is given by the expression; x(t) = 13.9/(t+1) + 2.2t3 -…

A: Average velocity=total displacementtotal time                   ......(1)

Q: ES-SS 18. The velocity and acceleration tables for a particle are shown on the right. Over what time…

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Q: Gurl, same! An object moving in one dimension has the same initial and final velocities. Which of…

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Q: Initially (at time t = 0) a particle is moving vertically at 6.9 m/s and horizontally at 0 m/s. Its…

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Q: What should a graph of the position vs time look like if it shows an object moving to the left at a…

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Q: v, sin 20, Q1) Show that R = for the range of a projectile on level ground by %3D finding the time t…

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Q: The velocity function, in feet per second, is given for a particle moving along a straight line.…

A: (a) Rewrite the express for the velocity.

Q: When it is possible to say that the value of average velocity is approximately the same as the…

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Q: A particle moves along the x-axis according to the equation x = 2.00 + 3.00t − 1.00t^2, where x is…

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Q: An object's position in the as a function of time obeys the equation; x (t) = 3t – 2t³ + 1.5t where…

A: Given displacement as function of time  Velocity is rate of change of displacement . Therefore…

Q: m 1-A particle is moving with an initial velocity of v, = 2" when t = 0. If it is subjected to a…

A: Option d is correct answer . V = 0.058 m/s

Q: Let a particle moves along x_axis, where x=5t-3t^2, and it's coordinate variesv with time. Calculate…

A: Given value--- x = 5 t - 3 t2 . t1 = 0 sec. t2 = 3 sec. We have to find--- average velocity?

Q: A particle Pis moving on the x-axis with constant deceleration 2.5 ms?. At time t = 0, the particle…

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Q: The distance “s” meters from a fixed point of a vehicle traveling in a straight line with constant…

A: Using equation  s=ut+12at2 Put s=42 and t=2  we get  2u+2a-42=0 u+a=26....(1) Now put s= 144m,and t=…

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Q: Given a velocity function v(t) = 3t – 5(in meter per second) for a partic. in motion from time t = 0…

A: The total distance traveled includes both the positive and the negative values. V = ds/dt

Q: The velocity function v(t) (in meters per second) is given for a particle moving along a line. v(t)…

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Q: An experimental rocket car starting from rest reaches a speed of 560 km/h  after a straight 400-m…

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Q: The acceleration of a particle as a function of time is given as a= kt, where, a is linear…

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A: Recall dvdt=ads/dt=v

Q: IXFQP A police car traveling 95.0 km/h is traveling west, chasing a motorist traveling at 80.0 km/h.…

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Q: how much time would it take you to cover the61-m length of the walkway if, once you get on the…

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Q: In 1865, Jules Verne proposed sending men to the Moon by firing a space capsule from a 220-m-long…

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Q: Gurl, same! An object moving in one dimension has the same initial and final velocities. Which of…

A: Average acceleration of the object is defined as the ratio of the total change in velocity of the…

Projectile Motion