Question

$\sf\purple{Answer \ this \ question:-}$

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Answer 1

ᴀ) ʀᴇғᴇʀ ᴛʜᴇ ᴀᴛᴛᴀᴄʜᴍᴇɴᴛ

ʙ) ᴛʜᴇ ᴅɪsᴛᴀɴᴄᴇ ᴛʀᴀᴠᴇʟʟᴇᴅ ʙʏ ᴛʜᴇ ᴏʙᴊᴇᴄᴛ ɪɴ 30 sᴇᴄᴏɴᴅs ɪs 32ᴍ.

ᴄ) ᴀᴠᴇʀᴀɢᴇ sᴘᴇᴇᴅ = ᴛᴏᴛᴀʟ ᴅɪsᴛᴀɴᴄᴇ ᴄᴏᴠᴇʀᴇᴅ /ᴛᴏᴛᴀʟ ᴛɪᴍᴇ ᴛᴀᴋᴇɴ

=80/75

=1.07 ᴍ/s

Hope it helps..... ❤❤

Answer 2

$\displaystyle\large\underline{\sf\red{Given}}$

$\begin{lgathered}\begin{tabular}{| c | c | c | c | c |c | }\cline{1-6} \bf{Time (s)} & \sf{15} & \sf{30} & \sf{45} & \sf{60} & \sf{75} \\ \cline{1-6}\sf{Distance (m)} & \sf{16} & \sf{32} & \sf{48} & \sf{68} & \sf{80}\\ \cline{1-6} \end{tabular}\end{lgathered}$

$\displaystyle\large\underline{\sf\blue{To \ Do}}$

◈ Plot a Distance-Time graph

◈ Distance travelled by the object in 30 Seconds?

◈ Average speed of the body?

$\displaystyle\large\underline{\sf\gray{Solution}}$

So here they travel equal Distances in Equal intervals of time, so the graph would be a straight line

Average speed of a body is given by,

$\displaystyle\underline{\boxed{\sf Avg \ Speed = \dfrac{Total \ D}{Total \ T}}}$

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$\underline{\boldsymbol{\bullet\: According \ to \ the \ Question}}$

Distance - Time Graph

$\setlength{\unitlength}{1 cm}\begin{picture}(16,8)\thicklines\put(0.9,9){\tt Y}\put(8.9,0.9){\tt X}\put(0.7,0.5){\sf0}\put(1,1){\circle*{0.1}}\put(1,1){\vector(1,0){7.8}}\put(1,1){\vector(0,1){7.8}}\put(8,0.9){\line(0,1){0.2}}\put(2,0.9){\line(0,1){0.2}}\put(3,0.9){\line(0,1){0.2}}\put(4,0.9){\line(0,1){0.2}}\put(5,0.9){\line(0,1){0.2}}\put(6,0.9){\line(0,1){0.2}}\put(7,0.9){\line(0,1){0.2}}\put(0.9,8){\line(1,0){0.2}}\put(0.9,2){\line(1,0){0.2}}\put(0.9,3){\line(1,0){0.2}}\put(0.9,4){\line(1,0){0.2}}\put(0.9,5){\line(1,0){0.2}}\put(0.9,6){\line(1,0){0.2}}\put(0.9,7){\line(1,0){0.2}}\qbezier(1.09,1)(2,2)(7.8,8)\put(1.9,0.5){\sf15}\put(2.9,0.5){\sf 30}\put(3.9,0.5){\sf45}\put(4.8,0.5){\sf60}\put(5.7,0.5){\sf75}\put(6.7,0.5){\sf90}\put(7.8,0.5){\sf105}\put(0.4,1.9){\sf16}\put(0.4,2.9){\sf32}\put(0.4,3.9){\sf48}\put(0.4,4.9){\sf64}\put(0.4,5.9){\sf80}\put(0.4,6.9){\sf96}\put(0.3,7.9){\sf112}\put(3,0.1){\vector(1,0){3.5}}\put(4.3,-0.3){\sf Time(s)}\put(0.1,2){\vector(0,1){3.5}}\put(-0.19,4.6){\sf D}\put(-0.17,4.3){\sf i}\put(-0.17,4){\sf s}\put(-0.17,3.7){\sf t}\put(-0.17,3.4){\sf a}\put(-0.17,3.1){\sf n}\put(-0.17,2.8){\sf c}\put(-0.17,2.5){\sf e}\end{picture}$

Qn B)

So as per the table that we are given in the Question, the distance travelled by the body is 32 m

Qn C)

We know that Average speed of a body is given by,

⪼ $\displaystyle\sf Avg \ Speed = \dfrac{Total \ D}{Total \ T}$

• Total Distance = 80 m
• Total Time = 75 sec

Substituting the values,

$\displaystyle\sf\dashrightarrow Avg \ Speed = \dfrac{80}{75}$

$\displaystyle\sf\dashrightarrow Avg \ Speed = \dfrac{16}{15}$

$\displaystyle\sf\dashrightarrow Avg \ Speed = 1.0666.....$

$\displaystyle\sf\pink{\dashrightarrow Avg \ Speed = 1.07}$

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