Speed of projectile after t seconds

AI Thread Summary
To determine the speed of a projectile 2.3 seconds after being fired at an initial speed of 68 m/s and an angle of 37 degrees, the horizontal component of velocity (Vx) should be calculated using 68*cos(37) instead of 68. The vertical component (Vy) is calculated as 68*sin(37) - (9.8*2.3), which results in a value of 18.38 m/s. The total speed is then found using the Pythagorean theorem, V=sqrt(Vx^2 + Vy^2). The direction of the projectile is determined using the arctangent function, theta = tan^-1(Vy/Vx). It is crucial to ensure the calculations for both speed and direction are based on the correct horizontal component for accuracy.
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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