Question

Equations $x=3-4t-5t^2-6t^3$ in terms of time $t$ The initial velocity along the axis is denoted by

• A. $3$ units
• B. $-4$ units
• C. $-5$ units
• D. $-6$ units

Answer 1

The correct option is B $-4$ units

The relation between the distance and the time is given by the equation,

$x=3-4t-5t^2-6t^3$

Velocity, $v=\frac{dx}{dt}$

$v=0-4-10t-18t^2$

The initial velocity at time, $t=0sec$

$v_i{|}_{t=0sec}=-4-10\times 0-18\times (0{)}^2$

$v_i{|}_{t=0sec}=-4unit$

The correct option is B.