NTSE Stage 2 SAT 2019 Exam Question Paper

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Directions (Questions 61-62)
Suppose that the acceleration versus time graph of a particle that starts from rest at t = 0 is as shown in the figure.

Question : 61 of 100

Marks: +1, -0

At what instant does the particle come to rest for the first time?

5 s
10 s
15 s
The particle never comes to rest

Validate

Solution:

Since the area under the acceleration graph for a certain interval of time is equal to the change in velocity during that time interval.
Let at time tf ,speed become zero, then

5×10-10×(t-10)=0

50-10t+100=0

t=150/10

t=15s

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