A car at a traffic signal starts from rest and makes a left turn in a circular trajectory of radius 7 m uniformly picking up speed and reaching a speed of 6 in 2 seconds. What is the magnitude of its total acceleration at t = 2 seconds?

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Chapter3: Motion In Two Dimensions
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Please answer these 3 simple multiple choice questions.

QUESTION 1
A car at a traffic signal starts from rest and makes a left turn in a circular trajectory of radius 7 m uniformly picking up
speed and reaching a speed of 6 in 2 seconds. What is the magnitude of its total acceleration at t = 2 seconds?
QUESTION 6
An object is executing non-uniform circular motion (motion in which its speed changes). Which of the following
statements is true about it?
O It experiences both, centripetal and tangential accelerations.
O It is possible for it to only experience centripetal acceleration.
OIt is possible for it to only experience tangential acceleration.
O Its centripetal acceleration will be of constant magnitude.
Transcribed Image Text:QUESTION 1 A car at a traffic signal starts from rest and makes a left turn in a circular trajectory of radius 7 m uniformly picking up speed and reaching a speed of 6 in 2 seconds. What is the magnitude of its total acceleration at t = 2 seconds? QUESTION 6 An object is executing non-uniform circular motion (motion in which its speed changes). Which of the following statements is true about it? O It experiences both, centripetal and tangential accelerations. O It is possible for it to only experience centripetal acceleration. OIt is possible for it to only experience tangential acceleration. O Its centripetal acceleration will be of constant magnitude.
QUESTION T
A particle has a velocity of
V =
(31 + 5) m/s
and a constant acceleration of
a = (-1.51 - 4.5 ) m/s?.
What is its velocity after 2 seconds? Is it moving faster or slower after 2 seconds?
O The particle is moving faster after 2 s and its velocity is:
(6 + 14) m/s
O The particle is slower and its velocity is:
4ĵ m/s
O Since it moves with constant acceleration, the particle's velocity does not change.
O Insufficient data to answer question.
Transcribed Image Text:QUESTION T A particle has a velocity of V = (31 + 5) m/s and a constant acceleration of a = (-1.51 - 4.5 ) m/s?. What is its velocity after 2 seconds? Is it moving faster or slower after 2 seconds? O The particle is moving faster after 2 s and its velocity is: (6 + 14) m/s O The particle is slower and its velocity is: 4ĵ m/s O Since it moves with constant acceleration, the particle's velocity does not change. O Insufficient data to answer question.
Expert Solution
Step 1

Ques 1 

Given 

Radius = r = 7m 

Velocity = v = 6 

Time = t = 2 sec 

As the velocity is uniform and is for circular motion 

So acceleration is 

A = v²/r 

At t = 2 sec, 

A = 6²/7 

A = 36/7 = 5.14 m/s² 

 

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