The initial position and velocity of a projectile are given by and respectively, and where r is in m and v in m/s. The position in the horizontal direction (in m) as a function of time is A) x(t) = 6t B) x(t) = 3 + 6t C) x(t) = 3 + 6t + gt² D) x(t) = 4 + 8t E) x(t) = 4 + 8t + gt²

Question

Quizplus · Accepted Answer

We can use the kinematic equation:
x = x0 + v0x*t + 1/2*a*t^2
where
x0 = initial horizontal position = 0 (assumed to be at the origin)
v0x = initial horizontal velocity = 3 m/s (from the given velocity vector)
a = horizontal acceleration = 0 (assuming no air resistance and on a level surface)
t = time
Plugging in the values, we get
x = 3t
Therefore, the best choice is B).

The Initial Position and Velocity of a Projectile Are Given