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Mike's car can accelerate from 0 mph to 40 mph in 5 seconds. What is the acceleration of his car in miles per hour per second?

1 Answer

Jun 12, 2017

$8 \frac{\frac{mi}{h}}{s}$ $8 ("mi"/"h")/"s"$

Explanation:

To solve this equation, we can use the kinematics equation

$v_{x} = v_{0 x} + a_{x} t$ $v_x = v_(0x) + a_xt$

where

$v_{x}$ $v_x$ is the velocity at time $t$ $t$ ( $40$ $40$ $mi/h$ $"mi/h"$ )
$v_{0 x}$ $v_(0x)$ is the initial velocity ( $0$ $0$ )
$a_{x}$ $a_x$ is the acceleration, in $\frac{mi}{h - s}$ $"mi"/("h"-"s")$ (miles per hour per second) and
$t$ $t$ is the time ( $5$ $5$ $s$ $"s"$ )

Plugging in known variables, we have

$40$ $40$ $mi/h = 0 + a_{x} (5$ $"mi/h" = 0 + a_x(5$ $s)$ $"s")$

$a_{x} = 8 \frac{mi}{h - s} = 8 \frac{\frac{mi}{h}}{s}$ $a_x = color(red)(8 "mi"/("h"-"s")) = color(red)(8("mi"/"h")/"s"$

The acceleration of Mike's car is $8$ $8$ miles per hour-second (miles per hour per second).

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