Question

A body covers 80 m in the first second, 15 m in the second and 22 m in the third second. What is the average speed of the body?

Step by Step Explanation needed

Answer 1

${\large{\red{\dag{\bold{\underline{\mathfrak{Given :}}}}}}}$

• ➵ A body covers 80 m in 1st second.
• ➵ Than it covers 15 m in 2nd second.
• ➵ Than it covers 22 m in 3rd second.

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

${\large{\red{\dag{\bold{\underline{\mathfrak{To \: Find :}}}}}}}$

• ➵ Find the average speed .

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

${\large{\red{\dag{\bold{\underline{\mathfrak{Solution:}}}}}}}$

❒ We know that :

${\large{\red{\bigstar \: \: {\orange{\underbrace{\underline{\blue{\bf{Average Speed = \frac{total \: distance}{total \: time} }}}}}}}}}$

❒ Cases :

➳ First case :

• ➻ Distance = 80 m
• ➻ Time = 1 s

➳ Second case :

• ➻ Distance = 15 m
• ➻ Time = 1 s

➳ Third second :

• ➻ Distance = 22 m
• ➻ Time = 1 s

❒ Now Average speed :

${\large{\longmapsto{\bf{Aver. \: Speed = \frac{total \: distance}{total \: time} }}}}$

${\large{\longmapsto{\bf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{80 + 15 + 22}{3} }}}}$

${\large{\longmapsto{\bf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{117}{3} }}}}$

${\large{\longmapsto{\bf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {\cancel\frac{117}{3} }}}}}$

${\large{\purple{:{\longmapsto{\red{\underline{\boxed{\textbf{Aver. speed = 39 m/s}}}}}}}}}$

❒ Hence :

➤ Average speed of this body is 39 m/s.

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃