Question

The position of an object is given by x=at+bt2 where x is in meters and t is in seconds what are the units of a and b

Answer 1

the answer should be 8

Answer 2

The unit of $a$ is $\fbox{\begin\\\ \dfrac{m}{s}\\\end{minispace}}$ and unit of $b$ is $\fbox{\begin\\\ \dfrac{m}{s^{2}}\\\end{minispace}}$.

Further explanation:

Concept used:

The units of $at$ and $bt^{2}$ must be equal to the unit of $x$ that is equal to meters.

The addition of term occurs if the units of all the terms are same.

Given:

The position of object is given by the equation $x=at+bt^{2}$.

Calculation:

The unit of term at must be equal to the unit of $x$ that is meters.

To find the unit of $a$ substitute all the units in the equation $x=at$.

$\boxed{\begin{aligned}x&=at\\ \text{meter}&=a\times \text{second}\\a&=\dfrac{\text{meter}}{\text{second}}\end{aligned}}$

The unit of $bt^{2}$ is also equal to the unit of $x$ that is meters.

$\boxed{\begin{aligned}x&=bt^{2}\\ \text{meter}&=b\times \text{(second)}^{2}\\b&=\dfrac{\text{meter}}{\text{(second)}^{2}}\end{aligned}}$

Therefore, the unit of $a$ is $\fbox{\begin\\\ \dfrac{m}{s}\\\end{minispace}}$ and the unit of $b$ is $\fbox{\begin\\\ \dfrac{m}{s^{2}}\\\end{minispace}}$.

Learn more:

1. Solution of linear equation ://brainly.com/question/1682776

2. Units and period brainly.com/question/558692

3. A problem on congruency brainly.com/question/8414067

Answer details:

Grade: High school

Subject: Mathematics

Topic: Units and measurement

Keywords: Equations, units, measurement , meter, second, meter per second, meter per second square, dogs, m\s^2, m\s, position, object, time, velocity.