A particle travels along a straight line path according to the equation of motion s = + 3t + 4,where t is in seconds and s is in meters.The velocity (in meters per second)of the particle at t = 2 is
A) 5.
B) 6.
C) 7.
D) 8.
E) 9.

Question

A particle travels along a straight line path according to the equation of motion s =  + 3t + 4,where t is in seconds and s is in meters.The velocity (in meters per second)of the particle at t = 2 is
A) 5. 
B) 6. 
C) 7. 
D) 8. 
E) 9.

Quizplus · Accepted Answer

To find the velocity of the particle at t=2, we need to take the derivative of the equation of motion with respect to time.

s = 11e^(0.633bfb0fb5ac5930b0e8330*t) + 3t + 4

ds/dt = (11e^(0.633bfb0fb5ac5930b0e8330*t)) * (0.633bfb0fb5ac5930b0e8330) + 3

At t = 2,

ds/dt = (11e^(0.633bfb0fb5ac5930b0e8330*2)) * (0.633bfb0fb5ac5930b0e8330) + 3
= (11e^(1.267bf61eb16a)) * (0.633bfb0fb5ac5930b0e8330) + 3
= 6.986

Rounding off to the nearest integer, the velocity at t=2 is 7 m/s. Therefore, the answer is (C).

A Particle Travels Along a Straight Line Path According to the Equation