QuestionJune 19, 2025

A javelin is thrown with an initial velocity of 30m/s at an angle of 35^circ above the horizontal. What is the total time of flight for the javelin? Round all intermediate values and final answer to two decimal places __ This is a required question

A javelin is thrown with an initial velocity of 30m/s at an angle of 35^circ above the horizontal. What is the total time of flight for the javelin? Round all intermediate values and final answer to two decimal places __ This is a required question
A javelin is thrown with an initial velocity of 30m/s at an angle of 35^circ above the horizontal. What is the total time of flight for the javelin? Round all intermediate values and final answer to two decimal places __ This is a required question

Solution
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Answer

3.50 s Explanation 1. Calculate the vertical component of velocity Use v_{y0} = v_0 \sin(\theta) where v_0 = 30 \, \text{m/s} and \theta = 35^\circ. Thus, v_{y0} = 30 \sin(35^\circ) \approx 17.21 \, \text{m/s}. 2. Calculate time to reach maximum height Use t_{\text{up}} = \frac{v_{y0}}{g} where g = 9.81 \, \text{m/s}^2. Thus, t_{\text{up}} = \frac{17.21}{9.81} \approx 1.75 \, \text{s}. 3. Calculate total time of flight Total time is t_{\text{total}} = 2 \times t_{\text{up}}. Therefore, t_{\text{total}} = 2 \times 1.75 \approx 3.50 \, \text{s}.

Explanation

1. Calculate the vertical component of velocity<br /> Use $v_{y0} = v_0 \sin(\theta)$ where $v_0 = 30 \, \text{m/s}$ and $\theta = 35^\circ$. Thus, $v_{y0} = 30 \sin(35^\circ) \approx 17.21 \, \text{m/s}$.<br /><br />2. Calculate time to reach maximum height<br /> Use $t_{\text{up}} = \frac{v_{y0}}{g}$ where $g = 9.81 \, \text{m/s}^2$. Thus, $t_{\text{up}} = \frac{17.21}{9.81} \approx 1.75 \, \text{s}$.<br /><br />3. Calculate total time of flight<br /> Total time is $t_{\text{total}} = 2 \times t_{\text{up}}$. Therefore, $t_{\text{total}} = 2 \times 1.75 \approx 3.50 \, \text{s}$.
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