Question

question 1 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 x - component of the pucks final velocity at time t = 0.50 s. a. - 2.0 m/s b. + 1.0 m/s c. + 2.0 m/s d. - 1.0 m/s

Explanation:

Step1: Identify the kinematic - equation

The kinematic equation for velocity is $v_x = v_{0x}+a_x t$.

Step2: Substitute the given values

Given $v_{0x}=1.0\ m/s$, $a_x = 2.0\ m/s^2$, and $t = 0.50\ s$. Substitute into the equation: $v_x=1.0\ m/s+(2.0\ m/s^2)\times0.50\ s$.

Step3: Calculate the result

$v_x=1.0\ m/s + 1.0\ m/s=2.0\ m/s$.

Answer:

C. +2.0 m/s