Question

test information description instructions from the list of choices, select the one best answer. multiple attempts not allowed. this test can only be taken once. force completion this test can be saved and resumed later. your answers are saved automatically. question completion status: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 moving to another question will save this response. question 2 of 25 question 2 4 points save answer (problem reference 3 - 1) a puck is moving on a frictionless air hockey table. relative to an x,y coordinate system at time t0 = 0 s, the x - components of the pucks initial velocity and acceleration are v0x = + 1.0 m/s and ax = + 2.0 m/s². the y - components of the pucks initial velocity and acceleration are v0y = + 2.0 m/s and ay = - 2.0 m/s². find the y - component of the pucks final velocity at time t = 0.50 s. a. + 1.0 m/s b. + 2.0 m/s c. - 1.0 m/s d. - 2.0 m/s

Explanation:

Step1: Identify the relevant kinematic - equation

The kinematic equation for final velocity in one - dimension is $v = v_0+at$. In the y - direction, $v_y=v_{0y}+a_y t$.

Step2: Substitute the given values

We are given that $v_{0y}=2.0\ m/s$, $a_y=- 2.0\ m/s^2$, and $t = 0.50\ s$. Substituting these values into the equation $v_y=v_{0y}+a_y t$, we get $v_y=2.0+( - 2.0)\times0.50$.

Step3: Calculate the result

First, calculate $( - 2.0)\times0.50=-1.0$. Then, $v_y=2.0 - 1.0=1.0\ m/s$.

Answer:

A. +1.0 m/s