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Acceleration is constant which means that acceleration is not the function of time (it will not change with respect to time)
Therefore, the magnitude of acceleration after 1.0 s is 4 m/s2 and the direction is x-axis
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- A particle initially is moving at a velocity with Cartesian components (5.0 m/s, 4.0 m/s) and 5.6 s later it is moving at a velocity with components (8.0 m/s, 0.0 m/s). What is the magnitude of its average acceleration, in m/s2?If an object initially at rest is given a velocity of: vx =-1.93 m/s and vy = 2.51 m/s. What is the magnitude and direction its displacement after a time of 3.50 seconds?An object has an acceleration as a function of time given by (in m/s2): a = (7t2 + 2t) i + (5t3 + 8) j Given: at t=0.0 s, the object is at the origin with a velocity of 0.0 m/s. What is the magnitude of its position (in m) when t= 6 s ?
- The position of a particle is: r(t) = [(4.62 m/s^2) t^2] i + (-3.38m) j + [(4.04 m/s^3) t^3] k What is the magnitude in m/s of the average velocity between t = 0 and t = 1.79s and what angle in degrees does the average velocity make between t = 0s and t = 1.79sA particle leaves the origin with initial velocity v0= 12i + 14j m/s, undergoing constant acceleration a = -0.80i + 0.25j m/s2. If the particle crosses the y-axis at t = 30s and its y-coordinate at the time is 532.5m. How fast is it moving and in what direction is it moving?An object has an acceleration as a function of time given by (in m/s2): A = (3t2 + 3t) i + (7t3 + 6) j Given: at t=0.0 s, the object is at the origin with a velocity of 0.0 m/s. What is the magnitude of its velocity (in m/s) when t= 4 s ?
- A dog running in an open field has components of velocity vx = 2.6 m/s and vy = -1.2 m/s at time t1 = 11.7 s . For the time interval from t1 = 11.7 s to t2 = 22.8 s, the average acceleration of the dog has magnitude 0.49 m/s^2 and direction 25.0 measured from the +x−axis toward the +y−axis. At t2, what is the x component, y component, and magnitude of the dog's velocity? What is the direction of the dogs velocity?A rock is At t = 0, a particle leaves the origin with a velocity of 12 m/s in the positive x direction and moves in the xy plane with a constant acceleration of (–2i + 4j) m/s2. At the instant the y coordinate of the particle is 18 m, what is the x coordinate of the particle?The position of a particle moving along the x axis is given by x(t) = (4.99 m) - (3.83 m/s)t. What is the displacement (in m) of the particle between t = 3.00 s and t = 6.00 s?
- A particle performs a one-dimensional motion with the position given by the time equation x(t) = 1,3t4 - 2,0t3, where x is given in meters and t is given in seconds. At time t=0, the particle starts its motion at the origin x=0. At what instant (in seconds) does the particle reverse its direction of motion?A particle is moving horizontally with constant acceleration. The position (x, in meters) as a function of time (t, in seconds) is given by x= 0.798 t^2 + 0.3552 t + 0.0355. Based on this information, the acceleration of the particle is what?On a spacecraft two engines fire for a time of 567 s. One gives the craft an acceleration in the x direction of ax = 4.80 m/s2, while the other produces an acceleration in the y direction of ay = 7.52 m/s2. At the end of the firing period, the craft has velocity components of vx = 3751 m/s and vy = 4834 m/s. Calculate the magnitude of the initial velocity.