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    • https://phys.libretexts.org/Courses/Joliet_Junior_College/Physics_201_-_Fall_2019v2/Book%3A_Custom_Physics_textbook_for_JJC/04%3A_Motion_Along_a_Straight_Line_-_with_Vectors/4.07%3A_Free_Fall
      An object in free fall experiences constant acceleration if air resistance is negligible. On Earth, all free-falling objects have an acceleration g due to gravity, which averages g = 9.81 m/s^2. For o...An object in free fall experiences constant acceleration if air resistance is negligible. On Earth, all free-falling objects have an acceleration g due to gravity, which averages g = 9.81 m/s^2. For objects in free fall, the upward direction is normally taken as positive for displacement, velocity, and acceleration.
    • https://phys.libretexts.org/Courses/Muhlenberg_College/MC%3A_Physics_121_-_General_Physics_I/02%3A_Motion_Along_a_Straight_Line/2.05%3A_Motion_with_Constant_Acceleration_(Part_1)
      When analyzing one-dimensional motion with constant acceleration, identify the known quantities and choose the appropriate equations to solve for the unknowns. Either one or two of the kinematic equat...When analyzing one-dimensional motion with constant acceleration, identify the known quantities and choose the appropriate equations to solve for the unknowns. Either one or two of the kinematic equations are needed to solve for the unknowns, depending on the known and unknown quantities.
    • https://phys.libretexts.org/Bookshelves/College_Physics/College_Physics_1e_(OpenStax)/02%3A_Kinematics/2.05%3A_Motion_Equations_for_Constant_Acceleration_in_One_Dimension
      We might know that the greater the acceleration of, say, a car moving away from a stop sign, the greater the displacement in a given time. But we have not developed a specific equation that relates ac...We might know that the greater the acceleration of, say, a car moving away from a stop sign, the greater the displacement in a given time. But we have not developed a specific equation that relates acceleration and displacement. In this section, we develop some convenient equations for kinematic relationships, starting from the definitions of displacement, velocity, and acceleration already covered.
    • https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_I_(2211)/03%3A_Kinematics_Quantities/3.06%3A_Free_Fall
      The fuse is timed to ignite the shell just as it reaches its highest point above the ground. (a) Calculate the height at which the shell explodes. (b) How much time passes between the launch of the sh...The fuse is timed to ignite the shell just as it reaches its highest point above the ground. (a) Calculate the height at which the shell explodes. (b) How much time passes between the launch of the shell and the explosion? (c) What is the horizontal displacement of the shell when it explodes? (d) What is the total displacement from the point of launch to the highest point?
    • https://phys.libretexts.org/Courses/Joliet_Junior_College/Physics_201_-_Fall_2019v2/Book%3A_Custom_Physics_textbook_for_JJC/04%3A_Motion_Along_a_Straight_Line_-_with_Vectors/4.05%3A_Motion_with_Constant_Acceleration_(Part_1)
      When analyzing one-dimensional motion with constant acceleration, identify the known quantities and choose the appropriate equations to solve for the unknowns. Either one or two of the kinematic equat...When analyzing one-dimensional motion with constant acceleration, identify the known quantities and choose the appropriate equations to solve for the unknowns. Either one or two of the kinematic equations are needed to solve for the unknowns, depending on the known and unknown quantities.
    • https://phys.libretexts.org/Courses/Coalinga_College/Physical_Science_for_Educators_(CID%3A_PHYS_14)/09%3A_Motion/9.03%3A_Motion_in_One-Dimension/9.3.06%3A_Uniform_Acceleration
      (a) This car is speeding up as it moves toward the right (positive x-direction), so it has positive acceleration in our coordinate system. (b) This car is slowing down as it moves toward the right, so...(a) This car is speeding up as it moves toward the right (positive x-direction), so it has positive acceleration in our coordinate system. (b) This car is slowing down as it moves toward the right, so it has negative acceleration in our coordinate system because the acceleration is toward the left (negative x-direction).
    • https://phys.libretexts.org/Courses/Tuskegee_University/Algebra_Based_Physics_I/02%3A_One-Dimensional_Kinematics/2.06%3A_Motion_Equations_for_Constant_Acceleration_in_One_Dimension
      We might know that the greater the acceleration of, say, a car moving away from a stop sign, the greater the displacement in a given time. But we have not developed a specific equation that relates ac...We might know that the greater the acceleration of, say, a car moving away from a stop sign, the greater the displacement in a given time. But we have not developed a specific equation that relates acceleration and displacement. In this section, we develop some convenient equations for kinematic relationships, starting from the definitions of displacement, velocity, and acceleration already covered.
    • https://phys.libretexts.org/Courses/Muhlenberg_College/MC%3A_Physics_121_-_General_Physics_I/02%3A_Motion_Along_a_Straight_Line/2.07%3A_Free_Fall
      An object in free fall experiences constant acceleration if air resistance is negligible. On Earth, all free-falling objects have an acceleration g due to gravity, which averages g = 9.81 m/s^2. For o...An object in free fall experiences constant acceleration if air resistance is negligible. On Earth, all free-falling objects have an acceleration g due to gravity, which averages g = 9.81 m/s^2. For objects in free fall, the upward direction is normally taken as positive for displacement, velocity, and acceleration.
    • https://phys.libretexts.org/Workbench/PH_245_Textbook_V2/02%3A_Module_1-_One-Dimensional_Kinematics/2.01%3A_Objective_1.a./2.1.06%3A_Free_Fall
      An object in free fall experiences constant acceleration if air resistance is negligible. On Earth, all free-falling objects have an acceleration g due to gravity, which averages g = 9.81 m/s^2. For o...An object in free fall experiences constant acceleration if air resistance is negligible. On Earth, all free-falling objects have an acceleration g due to gravity, which averages g = 9.81 m/s^2. For objects in free fall, the upward direction is normally taken as positive for displacement, velocity, and acceleration.
    • https://phys.libretexts.org/Workbench/PH_245_Textbook_V2/02%3A_Module_1-_One-Dimensional_Kinematics/2.01%3A_Objective_1.a./2.1.04%3A_Motion_with_Constant_Acceleration_(Part_1)
      When analyzing one-dimensional motion with constant acceleration, identify the known quantities and choose the appropriate equations to solve for the unknowns. Either one or two of the kinematic equat...When analyzing one-dimensional motion with constant acceleration, identify the known quantities and choose the appropriate equations to solve for the unknowns. Either one or two of the kinematic equations are needed to solve for the unknowns, depending on the known and unknown quantities.
    • https://phys.libretexts.org/Courses/Prince_Georges_Community_College/General_Physics_I%3A_Classical_Mechanics/11%3A_Kinematics_in_Two_or_Three_Dimensions/11.02%3A_Constant_Acceleration
      The left-hand side looks similar to the second term on the right-hand side of the one-dimensional Eq.\PageIndex7, but we still need to eliminate t on the right-hand side. \left(\mathbf{v}-\m...The left-hand side looks similar to the second term on the right-hand side of the one-dimensional Eq.\PageIndex7, but we still need to eliminate t on the right-hand side. \left(\mathbf{v}-\mathbf{v}_{0}\right) \cdot\left(\mathbf{v}-\mathbf{v}_{0}\right) & =(\mathbf{a} t) \cdot(\mathbf{a} t) \\[6pt] 2 \mathbf{a} \cdot\left(\mathbf{r}-\mathbf{r}_{0}\right) & =\left(v^{2}-2 \mathbf{v} \cdot \mathbf{v}_{0}+v_{0}^{2}\right)+\left(2 \mathbf{v} \cdot \mathbf{v}_{0}-2 v_{0}^{2}\right) \\[6pt]

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