QUESTION IMAGE
Question
a ball is launched upward from the ground. the diagram shows its location at 1 - second intervals. rank the magnitude of the speed and acceleration for the three indicated locations.
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ball speed - magnitude only
rank locations b, e, and g.
smallest middle greatest
tap me! tap me! tap me!
or tap here for all the same.
ball acceleration - magnitude only
rank locations b, e, and g.
smallest middle greatest
tap me! tap me! tap me!
or tap here for all the same.
Step1: Analyze speed concept
Speed of a vertically - launched ball decreases as it goes up and increases as it comes down. At the highest point, speed is 0. Location E is higher than B and G. B is going up and G is coming down.
Step2: Rank the speeds
The speed at B is greater than at E (speed at E = 0 at highest - point) and the speed at G is greater than at E. Also, assuming no air - resistance, the speed of the ball at the same height on the way up and down is the same in magnitude. So, the ranking of speeds from smallest to greatest is E, B, G.
Step3: Analyze acceleration concept
The acceleration of a ball in free - fall (neglecting air resistance) is constant and equal to the acceleration due to gravity \(g\approx9.8m/s^{2}\) throughout its motion.
Step4: Rank the accelerations
Since the acceleration is the same at all points B, E, and G (neglecting air resistance), the ranking for acceleration (magnitude only) is all the same.
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Ball Speed - Magnitude Only: Smallest: E, Middle: B, Greatest: G
Ball Acceleration - Magnitude Only: Smallest: Tap Here for all the same, Middle: Tap Here for all the same, Greatest: Tap Here for all the same