Question

A particle starts from rest and accelerates at 10 meters per second squared. How long does it take for the particle to reach a velocity of 45 meters per second? Use the equation below to solve this.

(The equation below gives the velocity in meters per second of an object after (t) seconds, where (Vo) is the object's initial velocity in meters per second and (a) is its acceleration in meters per second squared)
V = V0 + at
a) 4.5 seconds
b) 4.0 seconds
c) 4.3 seconds
d) 4.2 seconds

Answer 1

The particle takes 4.5 seconds to reach a velocity of 45 meters per second.

Step-by-step explanation:

To find the time it takes for a particle to reach a velocity of 45 meters per second, we can use the equation V = V0 + at. In this equation, V is the final velocity, V0 is the initial velocity, a is the acceleration, and t is the time. We are given V0 = 0 m/s, a = 10 m/s², and V = 45 m/s. Plugging these values into the equation, we get 45 = 0 + 10t. Solving for t, we find t = 4.5 seconds. Therefore, the answer is (a) 4.5 seconds.