1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# The acceleration- time graph of a particle moving along a straight line is as shown in figure. At what time the particle acquires its initial velocity?

A
12 s
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
B
5 s
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
C
8 s
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
16 s
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
Open in App
Solution

## The correct option is C 8 sWe know that under area under a−t graph represents change in velocity. Let A1 and A2 be the areas of upper and lower triangle respectively. Particle will acquire the initial velocity again when, A1+A2=0⇒|A1|=|A2| A1=12×10×4=20 A2=12×(to−4)×(−x)=20 ⇒x(to−4)=40(1) Since the slope of line remains same, ∴104=−xto−4(2) Solving (1) and (2), we get x=−10 and to=8 s Hence particle will acquire its initial velocity at 8 s

Suggest Corrections
288
Join BYJU'S Learning Program
Related Videos
Acceleration
PHYSICS
Watch in App
Explore more
Join BYJU'S Learning Program