Answer:
v = 23.370 mph
Step-by-step explanation:
It is given that,
The world record for the 100 meter dash is finished in 9.572 seconds in Berlin. We need to find the Bolt’s average race speed in miles per hour.
We know that,
1 mile = 1.609 km
or
1 mile = 1609.34 m
⇒ 100 m = 0.0621 miles
1 hour = 3600 seconds
⇒ 1 second = (1/3600) hour
Average speed = distance/time
So,
or
v = 23.370 mph
Hence, Bolt’s average race speed is 23.370 mph.
Answer:
the point lies at (1.7, 3.6) in the first quadrant.
Step-by-step explanation:
The formula for a circle with centre (h,k) and radius (r) can be expressed as :
(x-h)² + (y-k)² = r²
Now for the expression of the circle with radius 3 and center (0,1), we have:
(x - 0)² + (y - 1)² = 3²
x² + (y-1)² = 9
replacing y = 1.5x + 1 in the above equation, we have:
x² + (( 1.5x + 1 ) - 1 )² = 9
x² + ( 1.5x +1 - 1)² = 9
x² + (1.5x)² = 9
x² + 2.25x² = 9
3.25x² = 9
x² = 9/3.25
x = 1.7 in the positive x - axis
Recall that:
y = 1.5x + 1
y = 1.5 (1.7) +1
y = 2.55 +1
y = 3.55
y = 3.6
Therefore, the point lies at (1.7, 3.6) in the first quadrant.