Rosie is moving with a uniform acceleration and has a velocity of 12.0 cm/s in the positive x-direction when her x-coordinate is 3.00 cm. If her x-coordinate 2.00 s later is - 5.00 cm, what is her acceleration? Pixel is wanderin
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- An object is initially moving in the x-direction at 2.9 m/s when it undergoes acceleration in the y-direction for a period of 14 s. If the object moves equal distances in the x- and y-directions during this time, what’s the magnitude of its acceleration?In a baseball game the initial speed of a ball was measured to be 43 m/s. The batter hits and send the ball in the opposite direction with a speed of 51 m/s. Assuming the flight trajectories are horizontal and linear; and the bat-ball contact time is 1.0 ms, find the average acceleration of the ball.Most important in an investigation of an airplane crash by the U.S. National Transportation Safety Board is the data stored on the airplane’s flight-data recorder, commonly called the “black box” in spite of its orange coloring and reflective tape.The recorder is engineered to withstand a crash with an average deceleration of magnitude 3450 g during a time interval of 6.49 ms. In such a crash, if the recorder and airplane have zero speed at the end of that time interval, what is their speed at the beginning of the interval?
- In a particular Cartesian coordinate system, the y and z-components of the acceleration are zero and the x-component varies as given by the following function: ax(t) = 5t - 2t2 + 45e-t/F, where t is in seconds, ax is in meters per square second, and the constant F is in seconds. At t = 0, the particle was at position x = 3 m with a velocity pointing towards the positive x-axis and having magnitude 35 m/s. In the following problem you can take the constant F = 1.0 s. Find the instantaneous velocity, in meters per second, at t = 2 s. Find the position, in meters, of the particle at t = 1 s. Find the position, in meters, of the particle at t = 3 s.The driver of a car slams on the brakes when he sees a tree blocking the road. The car slows uniformly with an acceleration of 5.60 m/s2 for 4.20 s, making straight skid marks 62.4 m long, all the way to the tree. With what speed does the car then strike the tree?A ball is thrown into the air at 60° angle to the ground, takes a parabolic path, and is in the air for a total time of 4 s. If the upward direction from the ground is positive, what is the best estimate of the ball’s velocity at a time 3 s after it leaves the ground?
- a rocket initially at rest, is fired vertically with an upward acceleration of 10ms/s. at an altitude of 0.5km, the engine of the rocket cuts off. what is the maximum altitude reached by the rocket ?For projectile motion problems, the horizontal and vertical components of the motion of a projectile can be analyzed separately. Which of the following is TRUE about the horizontal component of its motion?a. The horizontal component of the acceleration is constant and is equal to -9.81 m/s^2b. The motion is uniformc. The horizontal component of the velocity varies with positiond. The motion is uniformly acceleratedOn a spacecraft two engines fire for a time of 532 s. One gives the craft an acceleration in the x direction of ax = 4.92 m/s2, while the other produces an acceleration in the y direction of ay = 7.16 m/s2. At the end of the firing period, the craft has velocity components of vx = 3743 m/s and vy = 4808 m/s. Calculate the magnitude of the initial velocity.
- An object is moving in the negative y-direction at 20.0 m/s when it undergoes an acceleration a → = ( 1.00 m / s 2 ) i ^. What is the speed (magnitude of velocity) of the object 10.0 s later?In a particular Cartesian coordinate system, the y and z-components of the acceleration are zero and the x-component varies as given by the following function: ax(t) = 8t - 2t2 + 15e-t/F, where t is in seconds, ax is in meters per square second, and the constant F is in seconds. At t = 0, the particle was at position x = 3 m with a velocity pointing towards the positive x-axis and having magnitude 25 m/s. In the following problem you can take the constant F = 1.0 s.An unsuspecting bird is coasting along in an easterly direction at 2.00 mph when a strong wind from the south imparts a constant acceleration of 0.300 m/s2 . If the wind's acceleration lasts for 3.40 s , find the magnitude ? and direction ?(measured counterclockwise from the easterly direction) of the bird's displacement over this time interval. Assume that the bird is originally travelling in the +? direction and that there are 1609 m in 1 mi . r=3.499m ?= 27.71∘ Now, assume the same bird is moving along again at 2.00 mph in an easterly direction, but this time, the acceleration given by the wind is at a ?=37.0° angle to the original direction of motion, measured counterclockwise from the easterly direction. If the magnitude of the acceleration is 0.300 m/s2 , find the displacement vector ?⃗ and the angle of the displacement ?1 . Enter the components of the vector, ?? and ?? , and the angle. Assume the time interval is still 3.40 s . ?⃗=???̂+???̂