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    teveleng's Avatar
    teveleng Posts: 2, Reputation: 1
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    #1

    Jul 18, 2013, 03:00 AM
    Finding angle at projectile motion
    At what angle should an arrow with an initial speed of 45m/s be aimed so that it will hit an apple 25m away on the same horizontal line?
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Jul 18, 2013, 11:15 AM
    Write the equation for the horizontal position of the arrow as a function of time and its initial velocity and angle, and set it equal to 25 m.. Then write out the equation for vertical motion, also as a function of time and initial velocity and angle, and set it to 0. Now you have two equations in two unknowns (time and angle); solve for the angle.
    teveleng's Avatar
    teveleng Posts: 2, Reputation: 1
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    #3

    Jul 18, 2013, 11:24 PM
    Quote Originally Posted by ebaines View Post
    Write the equation for the horizontal position of the arrow as a function of time and its initial velocity and angle, and set it equal to 25 m.. Then write out the equation for vertical motion, also as a function of time and initial velocity and angle, and set it to 0. Now you have two equations in two unknowns (time and angle); solve for the angle.
    sorry I don't get what you are saying. Please can you write down an example equation as a function of time. I really appreciate your kind help.
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    ebaines Posts: 12,131, Reputation: 1307
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    #4

    Jul 19, 2013, 05:46 AM
    Quote Originally Posted by teveleng View Post
    sorry I don't get what you are saying. Please can you write down an example equation as a function of time. I really appreciate your kind help.
    If a projectile is launched at angle from the horizontal with initial velocity , the component of its horizontal velocity is , and its horizontal position as a function of time is:

    .

    It's initial vertical velocity is , and its vertical position as a function of time is:

    .

    I trust these equations are not unfamiliar to you.
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