Question

A bicycle increases its velocity from 10 km/h to 15 km/h in 6 seconds calculate the acceleration (3000)answer​

Answer 1

$\large \rm {\underbrace{\underline{Elucidation:-}}}$

$\sf \blue {\maltese{\underline{\underline{Given\: data:-}}}}$

$\to \sf {Initial\: velocity (u)=10km/h}$

➻ɪɴᴏʀᴅᴇʀ ᴛᴏ ᴄᴏɴᴠᴇʀᴛ ᴋᴍ/ʜ ɪɴᴛᴏ ᴍ/s,ᴛʜᴇ ɢɪᴠᴇɴ ᴠᴀʟᴜᴇ ᴍᴜsᴛ ʙᴇ ᴍᴜʟᴛɪᴘʟɪᴇᴅ ʙʏ ᴛʜᴇ ғʀᴀᴄᴛɪᴏɴ $\sf {\frac{5}{18}}$

$\hookrightarrow \sf {u=10×\frac{5}{18}}$

$\hookrightarrow \sf {u=\frac{50}{18}}$

$\to \sf {\fbox{u≈2.78m/s}}$

$\to \sf {Final\: velocity (v)=15km/h}$

$\hookrightarrow \sf {v=15×\frac{5}{18}}$

$\hookrightarrow \sf {v=\frac{75}{18}}$

$\to \sf {\fbox{v≈4.17m/s}}$

$\to \sf {Time\: interval(t)=6\: seconds}$

$\sf \pink {\maltese{\underline{\underline{To\: determine:-}}}}$

$\to \sf {Acceleration\: of\: bicycle(a)=?}$

$\sf \purple {\maltese{\underline{\underline{We\: Know:-}}}}$

$\to \sf {v=u+at[1^{st} kinematic\: equation]}$

➻ᴛʜᴇ ᴀʙᴏᴠᴇ ᴇǫᴜᴀᴛɪᴏɴ ᴄᴀɴ ʙᴇ ᴡʀɪᴛᴛᴇɴ ᴀs,

$\hookrightarrow \sf {\boxed{a=\frac{v-u}{t}}}$

➻sᴜᴘᴘʟᴀɴᴛɪɴɢ ᴛʜᴇ ɢɪᴠᴇɴ ᴠᴀʟᴜᴇs ɪɴ ᴛʜᴇ ᴀʙᴏᴠᴇ ᴅᴇʀɪᴠᴇᴅ ᴇǫᴜᴀᴛɪᴏɴ,

$\large \hookrightarrow \sf {a=\frac{4.16-2.78}{6}}$

$\large \hookrightarrow \sf {a=\frac{1.38}{6}}$

$\implies \sf \green {\boxed{\underline{a≈0.23m/s^{2}}}}$

$\sf \orange {\maltese{\underline{\underline{Therefore,}}}}$

➻ᴛʜᴇ ᴀᴄᴄᴇʟᴇʀᴀᴛɪᴏɴ ᴏғ ᴛʜᴇ ʙɪᴄʏᴄʟᴇ ɪs "0.23 ᴍᴇᴛʀᴇ ᴘᴇʀ sᴇᴄᴏɴᴅ sǫᴜᴀʀᴇ" ᴀᴘᴘʀᴏxɪᴍᴀᴛᴇʟʏ.