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A particle moves along a straight line OX. At a time t (in seconds) the distance x (in metres) of the particle from O is given by x = 40 + 12t- t3 How long would the particle travel before coming to res,

(a) 40m

(b) 56m

(c) 16m

(d) 24m

Aditi Chauhan , 12 Years ago
Grade 10
anser 1 Answers
Jitender Pal

(b)
x = 40 + 12 t - t3
V =dx/dt = 12 - 3t2
    For V=0;  t= √(12/3)=2 sec
    So, after 2 seconds velocity becomes zero.
Value of x in 2 secs = 40 + 12.2-23
= 40 + 24 - 8 = 56 m

Last Activity: 12 Years ago
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