Question

An object is initially moving at an unknown velocity. It accelerates at a rate of 2.0 m/s2 to a new velocity of 45 m/s in 10s. What was the initial velocity?

Answer 1

The initial velocity of the object was 25 m/s. This is calculated using the formula u = v - at, with the given final velocity of 45 m/s, acceleration of 2.0 m/s², and time interval of 10 seconds.

Step-by-step explanation:

To determine the initial velocity of an object that has accelerated to a new velocity, we can use the kinematic equation for linear motion, which is:

v = u + at

Where:
v is the final velocity (45 m/s),
u is the initial velocity,
a is the acceleration (2.0 m/s²),
t is the time (10 s).

Rearranging this formula to solve for the initial velocity (u), we get:

u = v - at

Substitute the given values:

u = 45 m/s - (2.0 m/s²)(10 s)

u = 45 m/s - 20 m/s

u = 25 m/s

Therefore, the initial velocity of the object was 25 m/s.

Answer 2

Initial velocity=25m/s

Step-by-step explanation:

acceleration(a)=2m/s^2

Final velocity(v)=45m/s

Time(t)=10seconds

Initial velocity(u)=?

V=u+axt

45=u+2x10

45=u+20

u=45-20

u=25m/s