Question

A patricle is accelerated uniformly from rest, so that after 10 seconds it has a speed of 15m/s find its acceleration and the distance it has covered?

Answer 1

Answer:

Its acceleration is 1.5 $\frac{m}{s^{2} }$ and the distance it has covered is 150 m.

Explanation:

Acceleration is a quantity that indicates the variation in speed of a moving body as time passes. That is, acceleration relates changes in velocity with the time in which they occur.

The average acceleration is defined as the relationship between the variation or change in the speed of a mobile and the time used in said change:

$acceleration=\frac{change in speed}{time}$

In this case:

• change in speed= final speed - initial speed= 15 m/s - 0 m/s= 15 m/s
• time= 10 s

Replacing:

$acceleration=\frac{15 \frac{m}{s} }{10 s}$

and solving you get:

acceleration= 1.5 $\frac{m}{s^{2} }$

Speed ​​is a quantity that expresses the relationship between the space traveled by an object and the time used for it. This is:

$speed=\frac{distance}{time}$

So the distance can be calculated as:

distance= speed* time

In this case:

• speed= 15 m/s
• time= 10 s

Replacing:

distance= 15 m/s* 10 s

and solving you get:

distance= 150 m

Its acceleration is 1.5 $\frac{m}{s^{2} }$ and the distance it has covered is 150 m.