Answer:The slope in the velocity-time graph represents the acceleration. The slope is defined as the ratio of change in y-axis to change in the x-axis. The slope is represented by the letter m and following is the general formula used for determining the slope:
Explanation:
We know, K.E. = 1/2 mv²
8 = 1/2 * 1*v²
16 = v²
v = √16 = 4
So, velocity of the ball is 4 m/s
Answer:
8.6 miles
Explanation:
We need to calculate the components of the total displacement along the east-west and north-south directions first.
In the first part, Erica moves 5.2 miles at 25∘ north of east. So the components of this displacement along the two directions are:
East: 
North: 
In the second part, Erica moves 5.0 miles north. So, the components of this displacement are:
East: 
North: 
So the components of the total displacement are
East: 
North: 
Therefore the magnitude of the displacement, which is the straight-line distance from the starting point to the end of the race, is

Answer:
Explanation:
How long does the football need to rise?
4.70/3 = 2.35 s
What height will the football reach?
h = ½(9.81)2.35² = 27.1 m
With what speed does the punter need to kick the football?
vy = g•t = 9.81(2.35) = 23.1 m/s
vx = d/t = 56.0/4.70 = 11.9 m/s
v = √(vx²+vy²) = 26.0 m/s
At what angle (θ), with the horizontal, does the punter need to kick the football?
θ = arctan(vy/vx) = 62.7°