Question

A sprinter set a high school record in track and field, running 200.0 m in 20.6 s . what is the average speed of the sprinter in kilometers per hour?

Answer 1

Answer : The average speed of the sprinter is, 34.95 Km/hr

Solution :

Average velocity : It is defined as the distance traveled by the time taken.

Formula used for average velocity :

$v_{av}=\frac{d}{t}$

where,

$v_{av}$ = average velocity

d = distance traveled = 200 m

t = time taken = 20.6 s

Now put all the given values in the above formula, we get the average velocity of the sprinter.

$v_{av}=\frac{200m}{20.6s}\times \frac{3600}{1000}=34.95Km/hr$

conversion :

(1 Km = 1000m)

(1 hr = 3600 s)

Therefore, the average speed of the sprinter is, 34.95 Km/hr

Answer 2

The average speed of the sprinter in kilometers per hour is about 35.0 km/h

Further explanation

Acceleration is rate of change of velocity.

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

$\large {\boxed {d = \frac{v + u}{2}~t } }$

a = acceleration ( m/s² )

v = final velocity ( m/s )

u = initial velocity ( m/s )

t = time taken ( s )

d = distance ( m )

Let us now tackle the problem !

This problem is about Kinematics.

We will solve it in the following way

Given:

distance traveled = d = 200.0 m

time taken = t = 20.6 s

Unknown:

average speed = v = ?

Solution:

$v = \frac{d}{t}$

$v = \frac{200}{20.6}$

$v = \frac{1000}{103} ~ m/s$

Next we will change the units of this speed into km/h.

$v = \frac{1000}{103} \times \frac{3600}{1000} ~ km/h$

$v = \frac{3600}{103}~ km/h$

$v \approx 35.0 ~ km/h$

Learn more

• Velocity of Runner : brainly.com/question/3813437
• Kinetic Energy : brainly.com/question/692781
• Acceleration : brainly.com/question/2283922
• The Speed of Car : brainly.com/question/568302

Answer details

Grade: High School

Subject: Physics

Chapter: Kinematics

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate