Answer :
To determine the acceleration of the bicycle, we can use the basic formula of acceleration in physics. The formula is:
[tex]\[ a = \frac{\Delta v}{\Delta t} \][/tex]
Where:
- [tex]\( a \)[/tex] is the acceleration,
- [tex]\( \Delta v \)[/tex] (change in velocity) is the difference between the final velocity ([tex]\( v \)[/tex]) and the initial velocity ([tex]\( u \)[/tex]),
- [tex]\( \Delta t \)[/tex] (change in time) is the time interval over which the acceleration occurs.
Given:
- The initial velocity ([tex]\( u \)[/tex]) is [tex]\( 0.00 \, \text{m/s} \)[/tex] (since the bicycle is starting from rest),
- The final velocity ([tex]\( v \)[/tex]) is [tex]\( 5.00 \, \text{m/s} \)[/tex],
- The time ([tex]\( \Delta t \)[/tex]) is [tex]\( 5.00 \, \text{s} \)[/tex].
Now we can plug these values into the formula:
1. Calculate the change in velocity:
[tex]\[
\Delta v = v - u = 5.00 \, \text{m/s} - 0.00 \, \text{m/s} = 5.00 \, \text{m/s}
\][/tex]
2. Calculate the acceleration using the formula:
[tex]\[
a = \frac{\Delta v}{\Delta t} = \frac{5.00 \, \text{m/s}}{5.00 \, \text{s}} = 1.00 \, \text{m/s}^2
\][/tex]
Therefore, the acceleration of the bicycle is [tex]\( 1.00 \, \text{m/s}^2 \)[/tex].
[tex]\[ a = \frac{\Delta v}{\Delta t} \][/tex]
Where:
- [tex]\( a \)[/tex] is the acceleration,
- [tex]\( \Delta v \)[/tex] (change in velocity) is the difference between the final velocity ([tex]\( v \)[/tex]) and the initial velocity ([tex]\( u \)[/tex]),
- [tex]\( \Delta t \)[/tex] (change in time) is the time interval over which the acceleration occurs.
Given:
- The initial velocity ([tex]\( u \)[/tex]) is [tex]\( 0.00 \, \text{m/s} \)[/tex] (since the bicycle is starting from rest),
- The final velocity ([tex]\( v \)[/tex]) is [tex]\( 5.00 \, \text{m/s} \)[/tex],
- The time ([tex]\( \Delta t \)[/tex]) is [tex]\( 5.00 \, \text{s} \)[/tex].
Now we can plug these values into the formula:
1. Calculate the change in velocity:
[tex]\[
\Delta v = v - u = 5.00 \, \text{m/s} - 0.00 \, \text{m/s} = 5.00 \, \text{m/s}
\][/tex]
2. Calculate the acceleration using the formula:
[tex]\[
a = \frac{\Delta v}{\Delta t} = \frac{5.00 \, \text{m/s}}{5.00 \, \text{s}} = 1.00 \, \text{m/s}^2
\][/tex]
Therefore, the acceleration of the bicycle is [tex]\( 1.00 \, \text{m/s}^2 \)[/tex].
