Question

A person shoots an arrow at an angle with an initial speed of 86.0 m/s in order to hit a target 300 m away from the archer. The target is on the same level as the starting position of the arrow. a) The archer at first shoots the arrow with an angle of 11.7 degrees in order to hit the target. How long will it take for the arrow to reach the target? b) If instead the archer is on a vehicle moving away from the target at 10.0 m/s (meaning -10.0 m/s in the x direction), and the archer maintains the same amount of initial velocity and angle on the bow, what will be the distance that the arrow travels instead?

          A person shoots an arrow at an angle with an initial speed of
86.0 m/s in order to hit a target 300 m away from the archer. The
target is on the same level as the starting position of the
arrow. 
a) The archer at first shoots the arrow with an angle of 11.7
degrees in order to hit the target. How long will it take for the
arrow to reach the target?
b) If instead the archer is on a vehicle moving away from the
target at 10.0 m/s (meaning -10.0 m/s in the x direction), and the
archer maintains the same amount of initial velocity and angle on
the bow, what will be the distance that the arrow travels
instead?

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Added by Zachary C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Jeff Vermeire

04/16/2022

Step 1

Given: Initial velocity, \(v_0 = 86.0 \, \text{m/s}\) Range, \(R = 300 \, \text{m}\) Angle, \(\theta = 11.7^\circ\) Use the formula for range in projectile motion: \[ R = \frac{v_0^2 \sin(2\theta)}{g} \] where \(g = 9.81 \, \text{m/s}^2\) is the acceleration due Show more…

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A person shoots an arrow at an angle with an initial speed of 86.0 m/s in order to hit a target 300 m away from the archer. The target is on the same level as the starting position of the arrow. a) The archer at first shoots the arrow with an angle of 11.7 degrees in order to hit the target. How long will it take for the arrow to reach the target? b) If instead the archer is on a vehicle moving away from the target at 10.0 m/s (meaning -10.0 m/s in the x direction), and the archer maintains the same amount of initial velocity and angle on the bow, what will be the distance that the arrow travels instead?

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