You buy a plastic dart gun, and being a clever physics student you decide to do a quick calculation to find its maximum horizontal range. You shoot the gun straight up, and it takes 4.0 s for the dart to land back at the barrel. What is the maximum horizontal range of your gun?

Question
Asked Sep 26, 2019
112 views

You buy a plastic dart gun, and being a clever physics student you decide to do a quick calculation to find its maximum horizontal range. You shoot the gun straight up, and it takes 4.0 s for the dart to land back at the barrel. What is the maximum horizontal range of your gun?

check_circle

Expert Answer

Step 1

Here, the figure shows the motion of the dart shot by a gun at an initial velocity u and vmax is the velocity of y-component at the maximum height and with the angle θ.

help_outline

Image Transcriptionclose

Vma u e 45 Reax

fullscreen
Step 2

Given,

help_outline

Image Transcriptionclose

t 4 s g 9.8 m/s2 0 45° (for max Range)

fullscreen
Step 3

Now, at the maximum height, there will be no y-component of the velocity so, vmax will be zero and tmax is the time taken by the dart to r...

help_outline

Image Transcriptionclose

3D и + at, max max 0%3Dи-gt.at 'max и%3D gtmax 4 t. *max 2 =2 s max и%3 (9.8 m/s')(2 s) и%3D19.6 m/s

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Science

Physics

Kinematics

Related Physics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: A ball is thrown straight upward, and it reaches a maximum height of 2.80 seconds.   a.) How do you ...

A: Click to see the answer

question_answer

Q: A force of 35.0 N is applied in the positive x-direction to a block of mass 7.25 kg, at rest on a fr...

A: 1) Denote the acceleration of the block as a.Denote the force acting on the block in the positive x ...

question_answer

Q: Traumatic brain injury such as concussion results when the head undergoes a very large acceleration....

A: Given, For Hardwood floor, where u is the initial velocity and v is the final velocity and child rol...

question_answer

Q: Question 3 and 4

A: (3)(a) The final velocity at which the object hits the ground is 38.34 m/s(b) It takes 3.912 s for t...

question_answer

Q: A rocket accelerates 10 gravity's (320ft/s2), at an angle of 30° (60° to ground) from vertical wind ...

A: Given:Accleration of the rocket at 60 degree from horizontal, a = 10 gVelocity of the wind = 20 ft/s...

question_answer

Q: Two known forces F1 = 2.55 N at 76.0° below the +x axis and F2 = 2.80 N at 35.0° below the –x axis a...

A: Click to see the answer

question_answer

Q: If your mass is 60 kilograms, what is your acceleration?

A: According to Newton’s second law the force acting on an object is

question_answer

Q: A kayak on a lake is moving at a constant speed of 2.0 m/s in a direction 42.5° north of west. After...

A: The distance will be the product of speed and time taken.

question_answer

Q: Swimming at 2.00 m/s relative to still water, a swimmer heads directly across a river of width 75 m....

A: Click to see the answer