Initial values for velocity [m.s-1] v0 blue: 10 red: magenta: 2 cyan: 0 vT So far we have only considered the case where the initial velocity was either zero or a positive quantity (), i.e., the object was released from rest or projected downward. We will now consider the case where the object was project vertically upward (v0 < 0). Note: in our frame of reference, the origin is taken as = 0, the position of the object at x time = 0; down is the positive direction and up is the negative direction. t When the object is launched upward at time = 0, the initial velocity has a negative t Let be the magnitude of the initial velocity u v0 Therefore, the equation for the velocity as a function of time can be expressed as v t We can now find the time it takes for the object to rise to its maximum height tup xup above the origin (remember: up is negative). At the highest point = 0, therefore, v
Initial values for velocity v0 [m.s-1] blue: 10 red: vT magenta: 2 cyan: 0 So far we have only considered the case where the initial velocity was either zero or a positive quantity (), i.e., the object was released from rest or projected downward. We will now consider the case where the object was project vertically upward (v0 < 0). Note: in our frame of reference, the origin is taken as x = 0, the position of the object at time t = 0; down is the positive direction and up is the negative direction. When the object is launched upward at time t = 0, the initial velocity has a negative Let u be the magnitude of the initial velocity v0 Therefore, the equation for the velocity v as a function of time t can be expressed as We can now find the time tup it takes for the object to rise to its maximum height xup above the origin (remember: up is negative). At the highest point v = 0, therefore,
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