The instantaneous velocity at time t = 1 s is  m/s. The instantaneous velocity at time t = 6 s is  m/s. The instantaneous velocity at time t = 7 s is  m/s.

Q: The acceleration of a particle is given by a = 2t-20, where a is in meters per second squared and t…

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Q: elocity decreases linearly from 45 m/s to 0 m/s. 101 m 225 m 150 m 112 m

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Q: (a) The velocity of a particle changes from v = 2î + 5ĵ -3k m/s to V2= 5î - 7j+ 2k m/s in 2 s. What…

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Q: Accelerating uniformly at 2.4 m/s2, an object starts with an initial velocity v = 2 m/s to  a final…

A: Given: The acceleration of the object is 2.4 m/s2. The initial velocity of the object is 2 m/s. The…

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

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Q: n object undergoes acceleration 1.2i+2.4j m/s2 for 4.5 s at which time its velocity is 21i+11j m/s.…

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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: An object on a number line moved from x = 12 m to x = 124 m andmoved back to x = 98 m. The time…

A: Given,  Initial position of the object = X1 = 12 m Then the object moved to position 2, X2 = 124 m…

Q: What minimum heat is needed to bring 100 g of water at 20°C to the boiling point and completely boil…

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Q: a cheetah and a gazelle are both stopped. The gazelle runs and accelerates so that it reaches a…

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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: (a) The velocity of a particle changes from vỊ = 28 + 5ŷ -3k m/s to v2 = 5î - 7j+ 2k m/s in 2 s.…

A: Initial velocity of the particle is Final velocity of the particle is The velocity changes from v1…

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: 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: 2 3 4 T(s) During what time interval is the acceleration negative? From t = 7 s to t = 9 s The…

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Q: A stone is thrown straight upward with a speed of 25 m/s. It is caught on its way down at a point 5…

A: Given  Initial velocity u = 25 m/s  Acceleration a = -g  = -9.8 m/s2  Displacement S = 5 m

Q: A ball is thrown upward with an initial velocity of 25.0 m/s at time t = 0.0 s, from a roof 50 m…

A: Height, H =50 m  initial velocity, u = 25 m/s

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: The velocity of a particle is given by v = 23t2 - 110t + 52, where v is in meters per second and t…

A: Given data: Velocity of particle, v=23t2-110t+52

Q: Shown below is a graph of velocity versus time for a moving object. The object starts at position x…

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Q: Given the position versus time plot of an object, which of the following statement is correct? 1.0F…

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Q: Omar throws a rock down with speed 24.5 m/s from the top of a tower. The rock hits the ground after…

A: When the rock is being thrown by Omar from the top of the tower it will undergo a free fall since it…

Q: A ball is attached to a paddle by a rubber band. The ball is initially moving away from the paddle…

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Q: An object moves along the x axis according to the equation x = 3.20t² - 2.00t + 3.00, where x is in…

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

Q: A certain freely falling object, released from the rest, requires 2.5 s to travel the last 40 m…

A: Let  d=40m t=2.5s g=10m/s2

Q: (a) The velocity of a particle changes from vı = 2î + 5f -3k m/s to v2 = 5î - 7j+ 2k m/s in 2 s.…

A: Given: Part a) Part b)

Q: The position of an object as a function of time is x(t) = −7t2 m. What is the velocity at t = 1.18…

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Q: A moving object accelerates uniformly from 75 m/s at time t=0 to 135 m/s at t=10 s. How far did it…

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Q: The position of a particle moving along the x-axis is given by x = (21+22t-6.0t^2)m, where t is in…

A: At t1 = 1.0s, the position x1 is,

Q: A train has an initial speed of 10 m/sec. It is picking up speed with an acceleration of 6 m/sec/sec…

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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: The instantaneous acceleration at time t = 8 s is  m/s2. The instantaneous acceleration at time t =…

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Q: A particle undergoes uniformly accelerated motion. Its velocity at an nstant is 10. m/s. After 3.0…

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Q: The average acceleration from point A to point B is  m/s2. The average acceleration from point A to…

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Q: (a) The velocity of a particle changes from v1 = 2i + 5j -3k m/s to v2 = 5i - 7j+ 2k m/s in 2 s.…

A: Initial velocity  v1 = 2i + 5j -3k m/s Final velocity v2 = 5i - 7j+ 2k m/s Time interval in which…

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 –