Problem: A hunter shoots an arrow at a deer directly away from him. When the arrow leaves the bow, the deer is at a distance of 38 m. When the arrow strikes, the deer is at a distance of 51.00 m. The speed of the arrow is 65.00 m/s. What must have been the speed of the deer? How long did the arrow take to travel to the deer?

My teacher said to calculate the time of flight to get how long the arrow traveled for to get to the deer, but I don't angle of the arrow (unless its 180 degrees).

Formula:t = (65 m/s * sin (180))/(9.81 m/s^2)

  1. 👍
  2. 👎
  3. 👁
  1. If you don't shoot the arrow at an angle,it will NOT hit the deer, but hit the ground.

    The horizontal speed of the arrow is 65cosTheta
    The vertical speed is 65sinTheta.

    Horizontal distance= horizvelocity*time
    or time= 51/65cosTheta

    Now put that time here:
    Hfinal=Hinitial+ Vi*t -1/2 g t^2
    but Hfinal=Hinitial,so
    0=65sintheta *t - 4.9t^2
    Now put the expression for t you got above, and solve for theta (it is a little messy, and you get two solutions).
    Then go back and solve for time.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    an arrow is shot at a 30 degree angle with the horizontal. it has a velocity of 49 m/s how high will the arrow go? what horizontal distance will the arrow travel? and how long will the arrow be in the air?

  2. physics

    William Tell shoots an apple from his son's head.The speed of the 125-g arrow just before it strikes the apple is 25.0m/s, and the time of impact it is travelling horizontally.If the arrow strikes in the apple and the Arrow/Apple

  3. Physics urgent

    An archer shoots an arrow with a velocity of 45.0m/s at an angle of 50.0degrees with the horizontal.An assistant standing on the level ground 150m downrange from the launch point throws an apple straight up with the minimum intial

  4. algebra 2

    Elaine shoots an arrow upward at a speed of 32 feet per second from a bridge that is 28 feet high. The height of the arrow is given by the function h(t) = -16t2+32t + 28, where t is the time in seconds. a. What is the maximum

  1. Physics help!!

    An archer shoots an arrow with a velocity of 45 m/s at an angle of 50 degrees with the horizontal.An assistant standing on the level ground 150m downrange from the launch point throws an apple straight up with the minimum intial

  2. Basic Physics

    While standing on an open bed of a truck moving at 35 m/s, and archer sees a duck flying directly overhead. The archer shoots an arrow at the duck and misses. The arrow leaves the bow with a vertical velocity of 98 m/s. a) how

  3. PHYSICS grade 11

    a 27 g arrow is shot horizontally. the bowstring exerts an average force of 75 N on the arrow over a distance of 78 cm. detrmine the speed of the arrow as it leaves the bow.

  4. modern physics

    a hunter on the ground fires a bullet in the northeast direction which strikes a deer 0.25 metre away from him, the bullet travel with a speed of 1800m/ the instant an airplane is directly over the hunter at an altitude of

  1. algebra

    An archer releases an arrow from a shoulder height of 1.39 m. When the arrow hits the target 18 m away, it hits point A. When the target is removed, the arrow lands 45 m away. Find the maximum height of the arrow along its

  2. Physics

    An archer shoots and arrow horizontally at a target 15m away. The arrow is aimed directly at the center of the target, but it hits 52 cm long did it take for the arrow to reach the target

  3. Physics

    An arrow is shot at an angle of above the horizontal. The arrow hits a tree at an angle 45 degrees horizontal distance D = 220 away, at the same height above the ground as it was shot. Use g = 9.8 for the magnitude of the

  4. physics

    An archer shoots an arrow toward a 300 g target that is sliding in her direction at a speed of 2.15 m/s on a smooth, slippery surface. The 22.5 g arrow is shot with a speed of 38.0 m/s and passes through the target, which is

You can view more similar questions or ask a new question.