Which of the following equations of motion would be used to calculate the displacement given the initial and final velocities as well as the acceleration?

Question

BlackTom AI · Accepted Answer

To approach this question, I’ll examine what each equation represents and when it is used.
Option a: s = ½(u + v)t. This is the average velocity multiplied by time. It gives displacement if acceleration is not explicitly needed, but it assumes constant acceleration and uses average velocity; however, it does not directly incorporate acceleration a or the relation between u and v in terms of a. It’s not the standard equation for displacement when you know initial and final velocities together with acceleration.
Option b: v = u + at. This is the equation that links initial velocity, final velocity, acceleration, and time. It is useful when time t is known, but the question asks for displacement, not velocity as a function of time, and time is not provided here, so this one doesn’t directly yield displacement using the given information.
Option c: s = ut + ½at^2. This is the displacement formula derived from integrating velocity with respect to time, given initial velocity u and constant acceleration a, with time t. It does give displacement, but it requires time t as a variable. Since the problem mentions initial and final velocities and acceleration, not time, this form is not the most direct for the given data.
Option d: v^2 = u^2 + 2as. This equation directly relates the squares of the velocities to displacement and the accelerative term, without needing time. It is derived from kinematics by eliminating time and is specifically the relation between initial velocity u, final velocity v, acceleration a, and displacement s. Since the question asks for displacement given initial and final velocities and acceleration, this equation is perfectly suited.
In summary, the key idea is to match the unknown (displacement) with an equation that directly connects u, v, a, and s without requiring time. Among the provided forms, option d exactly provides that direct relation, whereas the other options either require time or describe displacement in a way that doesn’t align with the given data.

MUF0121 Physics Unit 1 - Semester 2, 2025

Which of the following equations of motion would be used to calculate the displacement given the initial and final velocities as well as the acceleration?

查看解析

登录即可查看完整答案

类似问题

An automobile of mass 2000 kg moving at 20 m/s is braked suddenly with a constant braking force of 10,000 N. How far does the car travel before stopping?

What is the meaning of subscript i in vi and subscript f in vf?

What is the difference between average and instantaneous velocity?

What is the difference between velocity and acceleration?

What is a motion?

Joe and Bill throw identical balls vertically upward. Joe throws his ball with an initial speed of twice as high as Bill's ball. The maximum height of Joe's ball will be

Which of the following equations of motion would be used to calculate the displacement given the initial and final velocities as well as the time taken?

更多留学生实用工具

考试浏览器助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单