# a car is moving along a straight road with a uniform acceleration

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## A car is moving along a straight road with a uniform acceleration. It passes through two points P and Q seperated by a dis†an ce with velocity 30 km/hr and 40 km/hr respectively. The velocity of the car midway between P and Q is a) 33.3 km/hr b) 20√(2) km/hr c) 25√(2 )km/hr d) 35 km/h

A car is moving along a straight road with a uniform acceleration. It passes through two points P and Q seperated by a dis†an ce with velocity 30 km/hr and 40 km/hr respectively. The velocity of the car midway between P and Q is a) 33.3 km/hr b) 20√(2) km/hr c) 25√(2 )km/hr d) 35 km/h

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A car is moving along a straight road with a uniform acceleration. It passes through two points P and Q seperated by a dis†an ce with velocity 30 km/hr and 40 km/hr respectively. The velocity of the car midway between P and Q is a) 33.3 km/hr b) 20√(2) km/hr c) 25√(2 )km/hr d) 35 km/h

Question

A car is moving along a straight road with a uniform acceleration. It passes through two points P and Q seperated by a distance with velocity 30 km/hr and 40 km/hr respectively. The velocity of the car midway between P and Q is a) 33.3 km/hr b) 20

√ 2 km/hr c) 25 √ 2 km/hr d) 35 km/hr. Open in App Solution

**Option (a) is correct.**

**Step 1: Given**

Velocity at P=30 km/hr(u=initial velocity)

Velocity at Q=40 km/hr(v=final velocity)

Let the distance between P and Q is s.

Assume acceleration of the car is a.

**Step 2: Formula used**

v²=u²+2*a*s (3rd equation of motion)

**Step 3: Finding velocity at midway between P and Q**

40²=30²+2*a*s 2as=1600-900 as= 700 2 as=350 Now,

the distance of midway between P and Q is

s 2 . so, distance= s 2 u=30km/hr

v₁= velocity at midway between P and Q

using, (v₁²=u²+2as) v₁²=30²+ 2 a s 2 v₁²=900+350 v₁²=1150 v₁=35.35 km/hr

**Hence, the velocity of the car midway between P and Q is 35.35 km/hr.**

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## A car is moving along a straight road with a uniform acceleration. It passes through two points P and Q separated by a distance with velocity 30 km/h and 40 km/h respectively. The velocity of the car midway between P and Q is?

Click here👆to get an answer to your question ✍️ A car is moving along a straight road with a uniform acceleration. It passes through two points P and Q separated by a distance with velocity 30 km/h and 40 km/h respectively. The velocity of the car midway between P and Q is?

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## A car is moving along a straight road with a uniform acceleration. It passes through two points P and Q separated by a distance with velocity 30 km/h and 40 km/h respectively. The velocity of the car midway between P and Q is?

Medium Open in App

Updated on : 2022-09-05

Solution Verified by Toppr

Assume acceleration of the car is a.

PQ=s Using, v 2 =u 2 +2as. =>40 2 =30 2 +2as =>2as=700=>as=350

Now, assume velocity of car at a midpoint of PQ is V.

V 2 =vp 2 +2a( 2 s ) =>V 2 =900+350=1250 =>V=35.35 s m

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## A car is moving along a straight road with a uniform acceleration. It passes through two points P and Q separated by a distance with velocity 30km//h and 40 km//h respectively. The velocity of the car midway between P and Q is

A car is moving along a straight road with a uniform acceleration. It passes through two points P and Q separated by a distance with velocity 30km//h and 40 k

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A car is moving along a straig...

A car is moving along a straight road with a uniform acceleration. It passes through two points P and Q separated by a distance with velocity

30km/h 30km/h and 40km/h 40km/h

respectively. The velocity of the car midway between P and Q is

Updated On: 27-06-2022

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Text Solution Open Answer in App A 33.3km/h 33.3km/h B 20 2 – √ km/h 202km/h C 25 2 – √ km/h 252km/h D 0.35km/h 0.35km/h Answer

The correct Answer is C

Answer

Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

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Guys, does anyone know the answer?