Speed of projectile after t seconds

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SUMMARY

The projectile is fired with an initial speed of 68 m/s at an angle of 37 degrees. To determine the speed of the projectile 2.3 seconds after firing, the horizontal component of velocity (Vx) is 68 * cos(37), while the vertical component (Vy) is calculated using the equation Vy = 68 * sin(37) - (9.8 * 2.3). The correct speed is found using V = sqrt(Vx^2 + Vy^2), which should yield a value different from the initially calculated 70.4 m/s. The angle of the projectile at this time is determined using theta = tan^-1(Vy/Vx).

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Vanessa23
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Homework Statement


A projectile is fired with an initial speed of 68 m/s at 37 degrees above horizontal on a flat firing range. c) Determine speed of the projectile 2.3 seconds after firing. d) Determine direction of projectile 2.3 s after firing.

Homework Equations


c) Vox=Vx=68m/s
Vy=Voy*sin(theta)-gt
V=sqrt(Vx^2+Vy^2)

d) tan^-1(Vy/Vx)= theta

The Attempt at a Solution



I got that Vx=68m/s
Vy=68*sin(37)-(9.8*2.3)
Vy=18.38

V=sqrt(68^2+18.4^2)
V=70.4
but the velocity is not 70.4 what am I doing wrong??
Thanks for any help!
The second part I get theta= 15.1 degrees but I don't want to submit it because if the first part is wrong then this is probably not right either.
 
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Vanessa23 said:

Homework Statement


A projectile is fired with an initial speed of 68 m/s at 37 degrees above horizontal on a flat firing range. c) Determine speed of the projectile 2.3 seconds after firing. d) Determine direction of projectile 2.3 s after firing.

Homework Equations


c) Vox=Vx=68m/s
Vy=Voy*sin(theta)-gt
V=sqrt(Vx^2+Vy^2)

d) tan^-1(Vy/Vx)= theta

The Attempt at a Solution



I got that Vx=68m/s
Vy=68*sin(37)-(9.8*2.3)
Vy=18.38

V=sqrt(68^2+18.4^2)
V=70.4
but the velocity is not 70.4 what am I doing wrong??
Thanks for any help!
The second part I get theta= 15.1 degrees but I don't want to submit it because if the first part is wrong then this is probably not right either.

You need to take the horizontal component of velocity in the RSS which is 68*Cos 37, not 68.

Then you should be fine.

You will need to get another calculation for theta.
 

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