Answer:
(I). The acceleration of the cart with low fan speed is 18 cm/s²
(II). The acceleration of the cart with medium fan speed is 23.3 cm/s²
(III). The acceleration of the cart with high fan speed is 32 cm/s²
Explanation:
Given that,
You looked at speed-time graphs to determine the acceleration of the cart for each of the three fan speeds in the lab.
According to graph,
A , B and shows the high, medium and low fan speeds respectively.
We know that,
The speed-time graph shows the acceleration.
Acceleration is equal to the rate of change of velocity.
(I). We need to calculate the acceleration of the cart with low fan speed
Using formula of acceleration
[tex]a_{l}=\dfrac{v_{f}-v_{i}}{t_{f}-t_{i}}[/tex]
Put the value from graph
[tex]a_{l}=\dfrac{125-0}{7}[/tex]
[tex]a_{l}=18\ cm/s^2[/tex]
(II). We need to calculate the acceleration of the cart with medium fan speed
Using formula of acceleration
[tex]a_{m}=\dfrac{v_{f}-v_{i}}{t_{f}-t_{i}}[/tex]
Put the value from graph
[tex]a_{m}=\dfrac{140-0}{6}[/tex]
[tex]a_{m}=23.3\ cm/s^2[/tex]
(III). We need to calculate the acceleration of the cart with high fan speed
Using formula of acceleration
[tex]a_{h}=\dfrac{v_{f}-v_{i}}{t_{f}-t_{i}}[/tex]
Put the value from graph
[tex]a_{h}=\dfrac{160-0}{5}[/tex]
[tex]a_{h}=32\ cm/s^2[/tex]
Hence, (I). The acceleration of the cart with low fan speed is 18 cm/s²
(II). The acceleration of the cart with medium fan speed is 23.3 cm/s²
(III). The acceleration of the cart with high fan speed is 32 cm/s²
