Question

A geologists speed increases uniformly from 15km/h to 60km/h in 20s. Determine The average speed The acceleration

Answer 1

Answer:-

Acceleration= 0.62 m/s^2

Average speed = 10.4 m/s

Step - by - step explanation:-

Given:-

V1 = 15 km/h

Change it into metre per second

$\bf{\: V1 = \frac{15 \times 1000}{3600} } \\ \\ \bf{V1 = 4.17 \: \frac{m}{s} }$

and ,V2 = 60 km/h

Also change it into metre per second

$\bf{V2 = \frac{60 \times 1000}{3600} } \\ \\ \bf{V2 = 16.7 \: \frac{m}{s} }$

Hence ,

(1) Average speed-

$\bf{average \: velocity \: = \frac{1}{2} \bigg(4.17 + 16.7 \bigg)} \\ \\ \bf{average \: velocity = 10.4 \: \frac{m}{s} }$

(2) Acceleration-

$\bf{acceleration = \frac{16.7 - 4.17}{20} } \\ \\ \bf{acceleration \: = 0.62 \: \: \frac{m}{ {s}^{2} } }$

Hope it helps you.