Differentiate y component of velocity wrt time

[ZedCar]

Homework Statement

A ball is thrown with an angle of 45 degrees to the horizontal by a person standing on the ground.

The y-component of the velocity of ball in projectile motion is differentiated with respect to time. i.e. dv/dt of the y-component of velocity.

Homework Equations

The Attempt at a Solution

Does this equal -g? (not g)

 

[tiny-tim]

Hi ZedCar!

…. i.e. dv/dt of the y-component of velocity.

you mean,

d/dt of the y-component of velocity

or the y-component of dv/dt

or d/dt of v_y

Does this equal -g? (not g)

yes

 

[spaghetti3451]

But isn't the sign supposed to depend on the orientation of the coordinate system?

 

[tiny-tim]

But isn't the sign supposed to depend on the orientation of the coordinate system?

yes, but i think we can safely assume that the y direction mentioned in the question is the usual upward one

 

[asteriatic]

Yes, the y-component of velocity in projectile motion can be represented as vy = v0sinθ - gt, where v0 is the initial velocity, θ is the angle of projection, and g is the acceleration due to gravity. Therefore, differentiating with respect to time gives dv/dt = -g. This represents the acceleration in the y-direction due to gravity.