Question

If you traveled one mile at a speed of 100 miles per hour, and another mile at a speed of 1 mile per hour, your average speed would not be (100 mph+1mph)/2 or 50.5 mph. What would be your average speed? (Hint: What is the total distance and total time?)

Answer 1

AV. DISTANCE = 2MILE
AV.TIME = 1hour + 0.01hour
1.01hour
AV. SPEED = 2MILE/1.01HOUR
= 200/101 mph
= 1.98 mph

Answer 2

Answer:The average speed is 1.98$mph.$

Explanation:

Given:Speed to travel one mile distance $(v_{1})$ $= 100mph$

          Speed to travel another one mile distance $(v_{2})$ $= 1mph$

The formula used to find the average speed is given by,

⇒                           $v=\frac{2v_{1}v_{2} }{v_{1}+v_{2} }$

Substituting the values, we get:

⇒                           $v= \frac{2(100)(1)}{100+1}$

⇒                           $v= \frac{200}{101}$

⇒                           $v= 1.98mph$

∴The average speed is 1.98$mph.$

Speed:The rate of change of position of an object in any direction is called speed. Speed is measured as the ratio of distance to the time in which the distance was covered.

i.e.                           $Speed=\frac{distane}{time}$

Types of Speed

Uniform speed: When the object covers equal distance in equal time intervals then the speed of the object is called uniform speed.

Variable speed: When the object covers a different distance at equal intervals of times the speed of the object is called variable speed.

Average speed: Average speed is defined as the uniform speed which is given by the ratio of total distance travelled by an object to the total time taken by the object.

Instantaneous speed: When an object is moving with variable speed, then the speed of that object at any instant of time is known as instantaneous speed.

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