Question

Pleaseeeeee help with these two questions:

A car accelerates for 4.5 seconds at a rate of 2 m/s^2. If the car was driving at 10 m/s initially, what is it's final velocity? The car is moving on a straight path.
12.25 m/s
22.5 m/s
4.44 m/s
19 m/s

QUESTION 2
If a 5000 kg car hits a 500 kg motorcycle, which of the following is true? Assume they collide and cleanly bounce off of each other.
-The motorcycle will have a greater acceleration after the collision due to the greater force exerted by the car on
impact.

-The forces are equal and opposite so both vehicles will have the same acceleration after the impact.

-The motorcycle will have a greater acceleration after the collision due to its lower inertia.

Answer 1

Question 1:

Answer:

Last choice: 19m/s

Reasoning:

Velocity can be described by the Kinematic Equation: vf=u+at. The equation is a linear relationship in the form y=mx+b, so it contains a rate of change (slope) and a starting point (y-intercept). In the equation, vf=final velocity, u=initial velocity, a=acceleration, and t=time.

Let’s solve for the final velocity (vf) using the Kinematic Equation:

Vf=(2m/s²)(4.5s)+(10m/s)

Vf=9m/s+10m/2

Vf=19m/s

Question 2:

Choice A.)