(a) 1 mi/h = 1.60934 km/h
(b) 1 ft/s = 0.3048 m/s
(c) 1 m/s = 3.6 km/h
Further explanation
Acceleration is rate of change of velocity.
[tex]\large {\boxed {a = \frac{v - u}{t} } }[/tex]
[tex]\large {\boxed {d = \frac{v + u}{2}~t } }[/tex]
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 !
[tex]1 ~ foot = 30.48 ~ cm[/tex]
[tex]1 ~ inch = 2.54 ~ cm[/tex]
[tex]1 ~ foot = 12 ~ inches[/tex]
[tex]1 ~ mile = 1609.34 ~ metres[/tex]
Question (a):
[tex]1 ~ mi/h = \frac{1 ~ miles}{1 ~ hour}[/tex]
[tex]1 ~ mi/h = \frac{1.60934 ~ km}{1 ~ hour}[/tex]
[tex]\large {\boxed {1 ~ mi/h = 1.60934 ~ km/h} }[/tex]
Question (b):
[tex]1 ~ ft/s = \frac{1 ~ foot}{1 ~ s}[/tex]
[tex]1 ~ ft/s = \frac{0.3048 ~ m}{1 ~ s}[/tex]
[tex]\large {\boxed {1 ~ ft/s = 0.3048 ~ m/s} }[/tex]
Question (c):
[tex]1 ~ m/s = \frac{1 ~ m}{1 ~ s}[/tex]
[tex]1 ~ m/s = \frac{1/1000 ~ km}{1/3600 ~ h}[/tex]
[tex]1 ~ m/s = \frac{3600}{1000} ~ km/h[/tex]
[tex]\large {\boxed {1 ~ m/s = 3.6 ~ km/h} }[/tex]
Learn more
- Velocity of Runner : https://brainly.com/question/3813437
- Kinetic Energy : https://brainly.com/question/692781
- Acceleration : https://brainly.com/question/2283922
- The Speed of Car : https://brainly.com/question/568302
Answer details
Grade: High School
Subject: Physics
Chapter: Kinematics
Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate
