Normal 0 false false false EN-US X-NONE X-NONE The position x of a particle with respect to time t along x-axis is given by x = 9t2 - t3 where x is in metres and t in second. What will be the position of this particle when it achieves maximum speed along the +ve x direction? (a) 54 m (b) 81 m (c) 24 m (d) 32 m

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The position x of a particle with respect to time t along x-axis is given by x = 9t² - t³ where x is in metres and t in second. What will be the position of this particle when it achieves maximum speed along the +ve x direction?

(a) 54 m

(b) 81 m

(c) 24 m

(d) 32 m

Aditi Chauhan , 12 Years ago

Grade 10

2 Answers

Jitender Pal

    (a)
    Speed v= dx/dt =d/dt (9t^2-t^3 )   =18 t-3t^2
    For maximum speed
    dv/dt=0 => 18 -6t=0 => t=3
       x_max =81-27=54

(a)

For maximum speed

Last Activity: 12 Years ago

sharath kumar

speed (V) = dx/dt =>d(9t²-t³)/dt = 18t-3t²

for maximum or minimum speed put dv/dt = 0 => 18-6t=0

t = 3 =.> position of particle at maximum velocity = 54

option a is correct answer

Last Activity: 12 Years ago

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Mechanics> maximum-speed...

The position x of a particle with respect to time t along x-axis is given by x = 9t2 - t3 where x is in metres and t in second. What will be the position of this particle when it achieves maximum speed along the +ve x direction? (a) 54 m (b) 81 m (c) 24 m (d) 32 m

Aditi Chauhan , 12 Years ago

Jitender Pal

sharath kumar

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The position x of a particle with respect to time t along x-axis is given by x = 9t² - t³ where x is in metres and t in second. What will be the position of this particle when it achieves maximum speed along the +ve x direction?

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