QuestionJune 9, 2025

A cannonball launched with a speed of 33m/s moves upwards to maximum height. O Assume the speed changes steadily. Determine all unknowns. v_(0)=square m/s v=square m/s v_(f)=square m/s __

A cannonball launched with a speed of 33m/s moves upwards to maximum height. O Assume the speed changes steadily. Determine all unknowns. v_(0)=square m/s v=square m/s v_(f)=square m/s __
A cannonball launched with a speed of 33m/s moves upwards to maximum height.	O
Assume the speed changes steadily.
Determine all unknowns.
v_(0)=square m/s
v=square m/s
v_(f)=square m/s
__

Solution
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Answer

v_{0}=33 \, \text{m/s} ### v=\text{depends on time} ### v_{f}=0 \, \text{m/s} Explanation 1. Identify Initial Velocity The initial velocity v_0 is given as the launch speed, which is 33 \, \text{m/s}. 2. Determine Final Velocity at Maximum Height At maximum height, the final velocity v_f is 0 \, \text{m/s} because the cannonball momentarily stops before descending. 3. Calculate Velocity at Any Point The velocity v at any point during ascent can be calculated using the formula v = v_0 - gt, where g is the acceleration due to gravity (9.8 \, \text{m/s}^2) and t is time.

Explanation

1. Identify Initial Velocity<br /> The initial velocity $v_0$ is given as the launch speed, which is $33 \, \text{m/s}$.<br />2. Determine Final Velocity at Maximum Height<br /> At maximum height, the final velocity $v_f$ is $0 \, \text{m/s}$ because the cannonball momentarily stops before descending.<br />3. Calculate Velocity at Any Point<br /> The velocity $v$ at any point during ascent can be calculated using the formula $v = v_0 - gt$, where $g$ is the acceleration due to gravity ($9.8 \, \text{m/s}^2$) and $t$ is time.
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