Vertical Motion Upwards - Physics Quiz

Vertical Motion Upwards

• $v_0$: Initial velocity (m/s), this is the velocity when the object starts moving upwards
• $v_t$: Final velocity (m/s), this the velocity at any time, but particularly at the maximum height, where the object momentarily stops before falling
• $y$: Vertical distance traveled (m)
• $t$: Time (s), this is the time the object is moving upwards
• $g$: Acceleration due to gravity (m/s²), this is the force pulling the object down, represented by 9.8 m/s²

Equations of Motion

• $v_t = v_0 + at$: This equation is used to calculate the final velocity (v_t) of an object moving upwards at time (t), knowing its initial velocity (v_0) and the acceleration due to gravity (g).
• $y = v_0t + \frac{1}{2}gt^2$: This equation helps calculate the vertical distance (y) traveled by the object after a time (t), knowing the initial velocity (v_0) and the acceleration due to gravity (g).
• $v_t^2 = v_0^2 + 2gy$: This equation calculates the final velocity (v_t) knowing the initial velocity (v_0), the vertical distance (y) and the acceleration due to gravity (g).

Specific Equations for Upward Motion

• $v_t = v_0 - gt$: This equation is used to find the final velocity (v_t) knowing the initial velocity (v_0), the acceleration due to gravity (g) and the time (t)
• $y = v_0t - \frac{1}{2}gt^2$: This equation helps calculate the vertical distance (y) traveled by the object after a time (t), knowing the initial velocity (v_0) and the acceleration due to gravity (g).
• $v_t^2 = v_0^2 - 2gy$: This equation calculates the final velocity (v_t) knowing the initial velocity (v_0), the vertical distance (y) and the acceleration due to gravity (g).

Maximum Height

• The final velocity at the maximum height is zero. This helps calculate the maximum height using the following equation:
• $Y_{max} = \frac{v_0^2}{2g}$
• This equation uses the initial velocity (v_0) and the acceleration due to gravity (g) to calculate the maximum height.

Visual Representation

• A simple diagram represents an object thrown upwards with Point A as the initial point and Point B as the maximum height reached.
• The diagram also shows the downward motion of the object from Point B to Point A, although this is not explicitly mentioned in the text.

Test your understanding of vertical motion, focusing on objects moving upwards. This quiz covers key concepts like initial and final velocity, acceleration due to gravity, and relevant equations of motion. Assess your grasp of how these factors influence the motion of objects in physics.