Calculating the Impact Speed of a Bullet Fired Straight Up

In summary, a bullet fired straight upwards experiences an acceleration due to air resistance of 1m/s2 during its entire flight. The speed at which it hits the ground is 300m/s.
  • #1
Ineedhelp809
2
0

Homework Statement


A bullet fired straight upwards experiences an acceleration due to air resistance of 1m/s2 during its entire flight. If it leaves the barrel of the gun at 300m/s, with what speed does it hit the ground?

Homework Equations


None given

The Attempt at a Solution


integral of a=t + c. When c=0, a=t
?
Speed is 300m/s?
 
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  • #2
I think it will be easier if you do it using the energy concepts.
Equate the change in kinetic energy to the work done by air resistance.
And no it's not 300m/s !
#The change in kinetic energy will include the final velocity term.
Also the mass will get cancelled.
 
  • #3
Ineedhelp809 said:

Homework Statement


A bullet fired straight upwards experiences an acceleration due to air resistance of 1m/s2 during its entire flight. If it leaves the barrel of the gun at 300m/s, with what speed does it hit the ground?

Homework Equations


None given

The Attempt at a Solution


integral of a=t + c. When c=0, a=t
?
Speed is 300m/s?

No, and that's not a very good attempt. What's the total acceleration going up? How high do you get starting with an initial velocity of 300m/s? Then reverse the problem going down.
 
  • #4
Suraj M said:
I think it will be easier if you do it using the energy concepts.
Equate the change in kinetic energy to the work done by air resistance.
And no it's not 300m/s !
#The change in kinetic energy will include the final velocity term.
Also the mass will get cancelled.

It's just kinematics here. The acceleration going up is constant and the acceleration coming down is a different constant. I don't think energy conservation will help all that much.
 
  • #5
Do I have to use equations of motion?
 
  • #6
Ineedhelp809 said:
Do I have to use equations of motion?

Well, yes. Or integrate them yourself. What's the value of the acceleration going up?
 
  • #7
Dick said:
The acceleration going up is constant and the acceleration coming down is a different constant.
well yes(ignoring our high initial velocity of 300m/s, and assuming g as constant, though there will be a noticeable difference), it still can be done, but yes, it will get a bit more complicated,
for OP: try to split the motion into 2 parts and define the list the physical quantities that you can find out from the given information.
 

1. What is motion along a straight line?

Motion along a straight line refers to the movement of an object on a path that is completely straight, with no curves or turns.

2. How is motion along a straight line measured?

Motion along a straight line is typically measured using distance and time. The distance an object travels along a straight line can be measured using a ruler or measuring tape, and the time it takes for the object to travel that distance can be measured using a stopwatch or timer.

3. What is the difference between speed and velocity in motion along a straight line?

Speed and velocity are both measures of how fast an object is moving, but they are calculated differently. Speed is the rate at which an object covers distance, while velocity is the rate at which an object changes its position. Velocity takes into account both the speed of the object and the direction in which it is moving.

4. How does acceleration play a role in motion along a straight line?

Acceleration is the rate at which an object's velocity changes. In motion along a straight line, acceleration can occur when an object speeds up, slows down, or changes direction. It is calculated by dividing the change in velocity by the time it takes for that change to occur.

5. What are some real-life examples of motion along a straight line?

Some common examples of motion along a straight line include a car traveling down a straight road, a person walking in a straight line, and a plane taking off or landing on a runway. Projectile motion, such as throwing a ball in a straight line, is also a form of motion along a straight line.

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