Question

A car travels with the speed of $15\text{m/s}$ for $0<t\le 5\text{sec}$, $20\text{m/s}$ for $5<t\le 10\text{sec}$ and $5\text{m/s}$ for $10<t\le 15\text{sec}$. The total distance travelled by the car is

• A. $250\text{m}$
• B. $100\text{m}$
• C. $200\text{m}$
• D. $150\text{m}$

Answer 1

The correct option is C $200\text{m}$

For constant speed distance travelled is given by $s=vt$
So, for each time interval the distance travelled by the car is
$s_1=15\times (5-0)=75\text{m}$
$s_2=20\times (10-5)=100\text{m}$
$s_3=5\times (15-10)=25\text{m}$
Hence, total distance travelled by the car is $75+100+25=200\text{m}$