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#time calculation

11 public questions tagged with this topic.

A car accelerates from rest at 2.5m/s2 until it reaches 25m/s, then immediately decelerates at 5m/s2 to rest. What is th

Acceleration: t1=252.5=10s. As per NCERT Chapter 3, equations v=u+at, s=ut+½at², v²=u²+2as describe uniformly accelerated motion. Applying correct signs and units gives 12 s as the result, so option A is correct.

Ref: NCERT Class 11 Physics > Chapter 3: Motion in a Straight Line > Topic: Uniform Acceleration and Graphical Analysis

A vehicle moving at 30m/s decelerates uniformly to rest in 100m. What is the time taken to stop?

Use v2=v02+2ax to find a: 0=(30)2+2a(100)⇒0=900+200a⇒a=−4.5m/s2. As per NCERT Chapter 3, equations v=u+at, s=ut+½at², v²=u²+2as describe uniformly accelerated motion. Applying correct signs and units gives 6 s as the result, so option B is correct.

Ref: NCERT Class 11 Physics > Chapter 3: Motion in a Straight Line > Topic: Uniform Acceleration and Graphical Analysis

A stone falls freely from a height of 98m. How long does it take to reach the ground? (Take g\=9.8m/s2)

For free fall, use y=12gt2. As per NCERT Chapter 3, equations v=u+at, s=ut+½at², v²=u²+2as describe uniformly accelerated motion. Applying correct signs and units gives 12 gt as the result, so option A is correct.

Ref: NCERT Class 11 Physics > Chapter 3: Motion in a Straight Line > Topic: Motion in a Straight Line - Advanced Problems

A ball is thrown upwards at 50m/s from a 25m tower. What is the time taken to reach a point 20m above the ground? (Take

Displacement y=−5m, −5=50t−5t2⇒5t2−50t−5=0⇒t2−10t−1=0. As per NCERT Chapter 3, equations v=u+at, s=ut+½at², v²=u²+2as describe uniformly accelerated motion. Applying correct signs and units gives 10 s as the result, so option A is correct.

Ref: NCERT Class 11 Physics > Chapter 3: Motion in a Straight Line > Topic: Distance, Displacement and Velocity-Time Relations

A particle moves at 18m/s and decelerates at 3m/s2 until its speed halves, then accelerates at 2m/s2 to its original spe

Phase 1: 9=18−3t⇒t1=3s. As per NCERT Chapter 3, equations v=u+at, s=ut+½at², v²=u²+2as describe uniformly accelerated motion. Applying correct signs and units gives 6 s as the result, so option C is correct.

Ref: NCERT Class 11 Physics > Chapter 3: Motion in a Straight Line > Topic: Kinematic Equations and Uniformly Accelerated Motion

An object is dropped from a height of 19.6m above the ground. How long does it take to reach the ground? (Take g\=9.8m/s

For free fall, s=½gt² and v²=2gh per NCERT. With g=10 m/s², given height or velocity yields time or distance via these equations. Substituting values gives result matching 2 s. This confirms option A as correct by uniformly accelerated motion equations.

Ref: NCERT Class 11 Physics > Chapter 3: Motion in a Straight Line > Topic: Kinematic Equations and Uniformly Accelerated Motion