Find the speed of the object after 4 seconds

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An object thrown horizontally forms a speed vector at an angle of pi/4 radians with the horizontal after 3 seconds. The vertical speed (vy) at 4 seconds is calculated as 40 m/s, while the horizontal speed (vx) remains constant. The total speed is determined using the Pythagorean theorem, resulting in a speed of 50 m/s. However, there is a note regarding the accuracy of the units used in the calculations. The discussion confirms the calculations but emphasizes the importance of unit consistency.
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Homework Statement


An object is thrown horizontally and after 3 seconds the speed vector forms the angle pi/4 radians with the horizontal direction. FInd the speed after 4 seconds.

Homework Equations


v=gt

The Attempt at a Solution


As it forms the angle pi/4 radians, vx=vy, so
v0=gt=3*10=30
vy when t=4 is 40m
v=sqrt(vx^2+vy^2)=50m Am I right
 
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annalian said:

Homework Statement


An object is thrown horizontally and after 3 seconds the speed vector forms the angle pi/4 radians with the horizontal direction. FInd the speed after 4 seconds.

Homework Equations


v=gt

The Attempt at a Solution


As it forms the angle pi/4 radians, vx=vy, so
v0=gt=3*10=30
vy when t=4 is 40m
v=sqrt(vx^2+vy^2)=50m Am I right
Right.
 
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cnh1995 said:
Right.
Except for the units.
 
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