Question

What Is The Position, In Meters, Of The Particle When The Velocity Is Zero?

A particle's position along the x-axis is described by
x(t)=At+Bt²
where t is in seconds, x is in meters, and the constants A and B are given below.
Randomized Variables
A=-3.95 m/s
B=2.6m/s²

Answer 1

The position of the particle when the velocity is zero can be found by setting the velocity function equal to zero and solving for t. The position equation x(t) can then be used to find the position at this time.

Step-by-step explanation:

The position of the particle is given by the equation x(t) = At + Bt², where A = -3.95 m/s and B = 2.6 m/s². To find the position of the particle when the velocity is zero, we need to find the value of t when the velocity function v(t) = A + Bt^(-1) is equal to zero.

Setting v(t) = 0, we have A + Bt^(-1) = 0. Solving for t, we get t = -A/B = -(-3.95)/(2.6) = 1.519 seconds.

Substituting this value of t into the position equation x(t), we can find the position of the particle when the velocity is zero.