Which of the following statements is not true?
a)the horizontal component of velocity cannot be larger than the total velocity
b)the vertical component of velocity cannot be larger than the total velocity
c)Neither horizontal nor vertical components of velocity cannot be larger than the total velocity
d) either horizontal or vertical components of velocity can be larger than total velocity
Is the correct answer d)?
and your thinking is..?
oops. you said d, d is indeed not true.
No, the correct answer is c) Neither horizontal nor vertical components of velocity cannot be larger than the total velocity.
To determine the correct answer, let's break down the statements:
a) The horizontal component of velocity cannot be larger than the total velocity.
This statement is true. The horizontal component of velocity refers to the velocity in the horizontal direction. Since the total velocity includes both the horizontal and vertical components, the total velocity cannot be smaller than the horizontal component.
b) The vertical component of velocity cannot be larger than the total velocity.
This statement is also true. Similar to the horizontal component, the vertical component of velocity refers to the velocity in the vertical direction. Again, since the total velocity includes both the horizontal and vertical components, the total velocity cannot be smaller than the vertical component.
c) Neither horizontal nor vertical components of velocity cannot be larger than the total velocity.
This statement is a double negative and, therefore, confusing. It is incorrect because it suggests that both the horizontal and vertical components cannot be larger than the total velocity. However, as stated in statements a) and b), the components can indeed be smaller than or equal to the total velocity, but they cannot be larger.
d) Either horizontal or vertical components of velocity can be larger than the total velocity.
This statement is also incorrect. As explained in statements a) and b), neither the horizontal nor vertical components can be larger than the total velocity.
So, the correct answer is c) Neither horizontal nor vertical components of velocity cannot be larger than the total velocity.