Equations of Kinematics

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LEVELJEE Main

Speeds of two identical cars are $u$ and $4 u$ at a specific instant. The ratio of the respective distances at which the two cars are stopped from that instant is

If a body losses half of its velocity on penetrating 3 cm in a wooden block, then how much will it penetrate more before coming to rest?

An automobile travelling with a speed of 60 km/h, can brake to stop within a distance of 20 m. If the car is going twice as fast, i.e, 120 km/h, the stopping distance will be

A car moving with a speed of $50 km/h$ , can be stopped by brakes after atleast $6 m$ . If the same car is moving at a speed of $100 km/h$ , the minimum stopping distance is

(A)

12 m

(B)

18 m

(C)

24 m

(D)

6 m

JEE Main 2021, 25 Feb Shift-I

LEVELJEE Main

An engine of a train moving with uniform acceleration, passes the signal-post with velocity $u$ and the last compartment with velocity $v$ . The velocity with which middle point of the train passes the signal post is

(A)

\frac{v ^{2} + u ^{2}}{2}

(B)

\frac{v - u}{2}

(C)

\frac{u + v}{2}

(D)

\frac{v ^{2} - u ^{2}}{2}

JEE Advanced 1982

LEVELJEE Advanced

In the arrangement shown in the figure, the ends $P$ and $Q$ of an unstretchable string move downwards with uniform speed $U$ . Pulleys $A$ and $B$ are fixed. Mass $M$ moves upwards with a speed

(A)

2 U cos θ

(B)

\frac{U}{c o s θ}

(C)

\frac{2 U}{c o s θ}

(D)

U cos θ

Pathfinder for Olympiad and JEE Advanced Physics

LEVELJEE Advanced

A passenger is standing on the platform at the beginning of $n^{th}$ ( $= 3^{rd}$ ) coach of a train. If the train starts moving with constant acceleration, the third coach passes by the passenger in $Δ t_{1} = 5.0 s$ and rest of the train including the $3^{rd}$ coach in $Δ t_{2} = 20 s$ . (a) How many coaches are in the train? (b) In what time interval did the last coach pass by the passenger?

Pathfinder for Olympiad and JEE Advanced Physics

LEVELJEE Main

When a car passes mark-A, driver applies brakes. Thereafter reducing speed uniformly from $160 km/h$ at A, the car passes mark C with a speed $40 km/h$ . The marks are at equal distances on the road as shown below. Where on the road was the car moving with a speed $100 km/h$ ? Neglect the size of the car as compared to the distances involved.

(A)

At mark-B

(B)

Between mark-A and mark-B

(C)

Between mark-B and mark-C

(D)

Information is insufficient to decide.

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } Speeds of two identical cars are u and 4u at a specific instant. The ratio of the respective distances at which the two cars are stopped from that instant is

If a body losses half of its velocity on penetrating 3 cm in a wooden block, then how much will it penetrate more before coming to rest?

An automobile travelling with a speed of 60 km/h, can brake to stop within a distance of 20 m. If the car is going twice as fast, i.e, 120 km/h, the stopping distance will be

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } A car moving with a speed of 50 km/h, can be stopped by brakes after atleast 6 m. If the same car is moving at a speed of 100 km/h, the minimum stopping distance is

Speeds of two identical cars are $u$ and $4 u$ at a specific instant. The ratio of the respective distances at which the two cars are stopped from that instant is

A car moving with a speed of $50 km/h$ , can be stopped by brakes after atleast $6 m$ . If the same car is moving at a speed of $100 km/h$ , the minimum stopping distance is