Answer:
The first choice (32m/s) is the closest to the answer
Step-by-step explanation:
The magnitude of a vector is the distance between the initial and the end point of the vector.
Being Vx and Vy the horizontal and vertical components of the vector V respectively, the magnitude of V is calculated as:
![\mid \vec{V} \mid =√(V_x^2+V_y^2)](https://img.qammunity.org/2021/formulas/physics/high-school/v00k0ibwhc1nbms4lwh59me87s62jcmbxa.png)
The components of the velocity of the physics student's projectile launcher are Vx=28 m/s and Vy=15 m/s.
Calculate the magnitude of the velocity:
![\mid \vec{V} \mid =√(28^2+15^2)](https://img.qammunity.org/2021/formulas/physics/high-school/3kbb9okyqvp4pv5eu804cnv8wuz2f72qvf.png)
![\mid \vec{V} \mid =√(784+225)](https://img.qammunity.org/2021/formulas/physics/high-school/ftw3hc2ya78v48f94ljy1lf1j9adn2llls.png)
![\mid \vec{V} \mid =√(1009)](https://img.qammunity.org/2021/formulas/physics/high-school/yskj32qnae5uxygwo1xx9r9h186e5nniof.png)
![\mid \vec{V} \mid =31.8 \ m/s](https://img.qammunity.org/2021/formulas/physics/high-school/muaywd28tntaq03mcf0ycfgctq5a3rufww.png)
The first choice (32m/s) is the closest to the answer