An object is initially at rest and subject to a constant acceleration of 2.17 m/s2. What amount of time will it take this object to undergo a displacement of 26.3 from its initial position
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An object is initially at rest and subject to a constant acceleration of 2.17 m/s2. What amount of time will it take this object to undergo a displacement of 26.3 from its initial position
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- A cart is given an initial velocity of 8.1 m/s and experiences a contestant acceleration of 3.4m/s2. What is the magnitude of the cart's displacement during the first 15s of its motion?An object is initially at rest and subject to a constant acceleration of 1.59 m/s2. What amount of time will it take this object to undergo a displacement of 29 from its initial position?A car starts from rest, then accelerates at a constant rate over a distance of 80 m. It then immediately decelerates at a constant rate over a distance of 136 m. The entire trip lasts a total duration of 26.0 s. What were the magnitudes of the cars accelerations for the speedup and slowdown stages respectively?
- A cart is given an initial velocity of 13.5 m/s and experiences a constant acceleration of 2.5 m/s2. What is the magnitude of the cart's displacement during the first 11 s of its motion?An object has an initial velocity of 15 m/s. How long must it accelerate at a constant rate of 3 m/s2 before its final velocity is equal to twice its initial velocity?A particle moves along the x axis. It is initially at the position 0.250 m, moving with velocity 0.090 m/s and acceleration -0.430 m/s2. Suppose it moves with constant acceleration for 5.80 s. (a) Find the position of the particle after this time. (b) Find its velocity at the end of this time interval. m/s We take the same particle and give it the same initial conditions as before. Instead of having a constant acceleration, it oscillates in simple harmonic motion for 5.80 s around the equilibrium position x = 0. Hint: the following problems are very sensitive to rounding, and you should keep all digits in your calculator. (c) Find the angular frequency of the oscillation. Hint: in SHM, a is proportional to x. /s (d) Find the amplitude of the oscillation. Hint: use conservation of energy. (e) Find its phase constant e, if cosine is used for the equation of motion. Hint: when taking the inverse of a trig function, there are always two angles but your calculator will tell you only one and…