Question

A body moving with uniform acceleration has two points (15, 30) and (60, 120) on a velocity time graph of its motion. What is the acceleration?

Answer 1

To find the acceleration of a body moving with uniform acceleration, we can use the equation of motion:

$v=u+at$

where:

• $v$ is the final velocity
• $u$ is the initial velocity
• $a$ is the acceleration
• $t$ is the time taken

In this case, we have two points on the velocity-time graph: (15, 30) and (60, 120). Let's assign the values accordingly:

$u=15\text{m/s}$ and $v=120\text{m/s}$

Now, we need to find the time ($t$) it took for the body to change its velocity from $u$ to $v$.

Using the equation of motion, we can rearrange it to solve for time:

$t=\frac{v-u}{a}$

Substituting the given values, we have:

$t=\frac{120\text{m/s}-15\text{m/s}}{a}$

Now, we can use the other point on the graph, (60, 120), to find the time taken to reach that velocity. Again, using the equation of motion:

$t=<span$