The problem involves calculating the impact speed of a bullet fired straight upwards, taking into account the effects of air resistance. The bullet has an initial speed of 300 m/s and experiences a constant acceleration due to air resistance of 1 m/s² during its flight.
The discussion is active, with participants offering different perspectives on how to approach the problem. Some guidance has been provided regarding the use of energy concepts and equations of motion, but there is no explicit consensus on the best method to solve the problem.
Participants note the complexity introduced by the differing accelerations during ascent and descent, as well as the need to clarify assumptions regarding initial conditions and constants like gravitational acceleration.
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?
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.
Ineedhelp809 said:Do I have to use equations of motion?
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,Dick said:The acceleration going up is constant and the acceleration coming down is a different constant.