Question

Motor vehicle attains 18kmh-' to 36kmh in 5 minutes. The vehicle is under
uniform acceleration find its acceleration and distance travelled.​

Answer 1

ANSWER:-

Given:

Motor vehicle attains 18km/h to 36km/h in 5 minutes. The vehicle is under uniform acceleration.

To find:

Find its acceleration & distance travelled.

Solution:

Given,

Initial velocity, (u)= 18km/h

$= > \frac{18 \times 1000m} {3600s} \\ \\ = > \frac{10}{2} m \: s \\ \\ = > 5m/s$

&

Final velocity, (v)= 36km/h

$= > \frac{36 \times 1000m}{3600s} \\ \\ = > \frac{1000}{100} m \: s \\ \\ = > 10 m / s$

⚫Time = 5minutes

Convert second;

1min. = 60second

5 min.= 5×60 second

=) 300seconds

Now,

Acceleration:

Using the first equation of motion;

$= > a = \frac{v - u}{t} \\ \\ = > \frac{10 - 5}{300} \\ \\ = > \frac{5}{300} \\ \\ = > \frac{1}{60}m /{s}^{2}$

And,

Distance travelled by the motor vehicle:

Using the second equation of motion;

$s = ut + \frac{1}{2} {at}^{2} \\ \\ = > 5 \times 300 + \frac{1}{2} \times \frac{1}{60} \times 300 \times 300 \\ \\ = > 1500 + \frac{1}{120} \times 300 \times 300 \\ \\ = > 1500 + 750 \\ \\ = > 2250m$

Thus,

Acceleration is 1/60m/s²

Distance travelled is 2250m.

Hope it helps ☺️