Question

A bus is moving with a speed of 10 m $s^{-1}$ on a straight road. A scooterist wishes to overtake the bus in 100 s. If the bus is at a distance of 1 km from the scooterist with what speed should the scooterist chase the bus?

• A. 40 m $s^{-1}$
• B. 25 m $s^{-1}$
• C. 10 m $s^{-1}$
• D. 20 m $s^{-1}$

Answer 1

The correct option is D 20 m $s^{-1}$

Kinematics

given,

time $\left(t\right)=100s$, distance $\left(s\right)=1km=1000m$

$V_b=10m/s$ (relative speed r.p to bus)

Velocity $\left(v\right)=\frac{distance}{time}=\frac{1000}{100}$

$V_s=$ velocity of scooter

$V_b\to$ Velocity of bus

$V=V_s-V_b\to$As we know

$10=V_s-10$

$20=V_s$ $V_s=20m/s$

Velocity with which scooterist

should chase the bus $\to 20m/s$