Answer :
Final answer:
When an object is thrown upward, its initial velocity and position are given. Using the equation y = v0t - 0.5gt^2, where y is the height, v0 is the initial velocity, g is the acceleration due to gravity, and t is the time, we can solve for t.
Explanation:
When an object is thrown upward, its initial velocity is positive. In this case, the initial speed of the object is 4 m/s in the upward direction. The distance from the ground is 1.5 m.
Using the equation y = v0t - 0.5gt2, where y is the height, v0 is the initial velocity, g is the acceleration due to gravity (approximately 9.8 m/s2), and t is the time, we can solve for t. First, rearrange the equation to solve for t: t = (y + 0.5gt2) / v0
Substituting the values, we have t = (1.5 + 0.5(9.8)t2) / 4. Solving this equation will give us the total time of flight for this free fall motion.
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