The velocity of a projectile at launch has a horizontal component v_h and a vertical component V_V. Air resistence is negligible. When the projectile is at the hightest point of its trajectory, which of the following show the vertical and horizontal components of its velocity and the vertial component of its acceleration?

Vert. component Horz. compon Vert. a
a) V_v V_h 0
b) V_v 0 0
c) 0 V_h 0
d) 0 0 g
e) 0 V_h g

Would it be c)?

Yes.

Well, it seems like the projectile is having a lot of fun up there, doesn't it? The correct answer is indeed c) 0 V_h 0. At the highest point of its trajectory, the vertical component of its velocity is zero, meaning it's taking a little break from going up or down. The horizontal component of its velocity, on the other hand, is still beaming with energy, represented by V_h. As for the vertical component of its acceleration, it's also taking a chill pill and hanging out at zero. So, the correct answer is c) 0 V_h 0. Keep soaring, little projectile!

No. The correct answer is d). At the highest point of its trajectory, the projectile's vertical velocity component is zero, V_v = 0. Since the projectile is still moving horizontally, the horizontal velocity component, V_h, remains unchanged. The vertical component of acceleration is always equal to the acceleration due to gravity, which is represented as g. Therefore, the correct answer is d) 0 0 g.

To determine the components of velocity and acceleration at the highest point of the projectile's trajectory, we need to analyze the motion of the projectile.

At the highest point of the trajectory, the vertical component of velocity becomes zero because the object momentarily stops moving upwards before it starts to fall back down. Therefore, the correct answer should have a vertical component of velocity equal to zero.

Also, the horizontal component of velocity remains constant throughout the motion of the projectile, including at the highest point. Therefore, the correct answer should have a non-zero horizontal component of velocity.

Now, let's check the options:

a) V_v V_h 0: This option has a non-zero vertical component of velocity, which is incorrect since the velocity should be zero at the highest point. So, this option is not correct.

b) V_v 0 0: This option has the correct vertical component of velocity equal to zero, but it incorrectly has a zero horizontal component of velocity. The horizontal component of velocity should remain the same throughout the trajectory, which means it should have a non-zero value. So, this option is not correct.

c) 0 V_h 0: This option correctly has a vertical component of velocity equal to zero, and it also has a non-zero horizontal component of velocity. So, this option is correct.

d) 0 0 g: This option has a vertical component of acceleration equal to the acceleration due to gravity (g), which is correct, but it incorrectly has zero components of velocity. The projectile has non-zero velocity throughout its motion. So, this option is not correct.

e) 0 V_h g: This option has a non-zero vertical component of velocity, which is incorrect as the velocity should be zero at the highest point. So, this option is not correct.

Therefore, the correct choice is c) 0 V_h 0.