Need some help with a physics problem?

P

Phi N

New member
A cannonball is fired from a gun with a muzzle velocity of 30 m/s at an angle of 40 degrees above the horizontal.

How long will the cannonball be in flight before striking the ground?
What is the range of the cannonball?

Thanks for your help.
 
Start by thinking this is a projectile motion problem:

using the formula

yf=yi+(viy)t-1/2g(t)^2

where you know that your y final and y initial are zero (ground level the muzzel starts on floor and comes to the floor) and velocity initial in the y direction is viy= 30m/s SIN 40 and g is gravity (9.8 m/s) just put in the formula and solve for t=3.93 seconds. <-- thats how long the ball is in flight. to answer about range use this time value and formula

xf=xi+vix(t)

and xf-xi=delta x =your range.

therefore range= 30m/sCOS40(3.93s)=
90.31 m. Im not sure if its right but the logic is legit.
 
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