A person is running along a circular track of area 625- 2 with a constant speed- Find the distance traveled in 30 s- if he has to complete the race in 30 s-

The correct option is D 50π √(π) m π R^2=625 π^2 R=25√(π) t=30 s v=Distancet=2π R30 In 15 s,runner is diametrically opposite to the ini ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Principal Axes of Ellipse

A person is r...

Question

A person is running along a circular track of area ${625 π}^{2}$ with a constant speed. Find the distance traveled in 30 s, if he has to complete the race in 30 s.

200 π m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

100 π m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

25 π m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

50 π \sqrt{π} m

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $50 π \sqrt{π} m$
$π R^{2} = 625 π^{2}$
$R = 25 \sqrt{π}$
$t = 30 s$
$v = \frac{D i s t a n c e}{t} = \frac{2 π R}{30}$
In 15 s,runner is diametrically opposite to the initial point.
Distance at 30 s= $2 π R$
$= 2 π \times 25 \sqrt{π}$
$= 50 π \sqrt{π}$

Suggest Corrections

Similar questions

Q. A person is running along a circular track of area

625 π m^{2} (π = \frac{22}{7})

with a constant speed. Find the displacement in

15

seconds if he has to complete the race in

30

Sam was cycling on a circular track. He travels 600m while cycling 1 round of the track. Find his speed of cycling if he can complete 12 rounds of the track in 30 minutes.

Q. If a boy running against a wind with speed

2 m / s

reaches the finish line of a

100 m

race in 15 seconds. How long will he take to complete the race in absence of wind.

A racing car is traveling along a track at a constant speed of 40m/s. A TV cameraman is recording the event from a distance of 30 m directly away from the track as shown in figure in order to keep the car under view, at what angular speed must the camera be rotated [in rad/sec]:

Q. A runner running along a circular track at a constant speed has _______ velocity.

Join BYJU'S Learning Program

A person is running along a circular track of area 625π2 with a constant speed. Find the distance traveled in 30 s, if he has to complete the race in 30 s.

The correct option is D 50π √πmπR2=625π2R=25√πt=30sv=Distancet=2πR30In 15 s,runner is diametrically opposite to the initial point.Distance at 30 s=2πR=2π×25√π=50π√π

A person is running along a circular track of area ${625 π}^{2}$ with a constant speed. Find the distance traveled in 30 s, if he has to complete the race in 30 s.

The correct option is D $50 π \sqrt{π} m$
$π R^{2} = 625 π^{2}$
$R = 25 \sqrt{π}$
$t = 30 s$
$v = \frac{D i s t a n c e}{t} = \frac{2 π R}{30}$
In 15 s,runner is diametrically opposite to the initial point.
Distance at 30 s= $2 π R$
$= 2 π \times 25 \sqrt{π}$
$= 50 π \sqrt{π}$