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1 answer:
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Answer:
38.6 m/s
Step-by-step explanation:
The motion of the ball is a projectile motion, which consists of two independent motions:
- A uniform motion (constant velocity) along the horizontal direction
- A uniformly accelerated motion, with constant acceleration (acceleration of gravity) in the downward direction
Therefore we have to analyze the horizontal and vertical motion separately.
Along the horizontal direction, the velocity is constant during the motion, since there are no forces acting in this direction. So the horizontal velocity 3 seconds after the launch will be the same as the velocity at the launch:
The vertical velocity instead changes according to the suvat equation:
where
is the initial vertical velocity
is the acceleration due to gravity
t is the time
Therefore, after t = 3 s,
So the velocity after 3 seconds is < 25, -29.4 > m/s. The magnitude of the velocity is
The distance between the cities is 280 miles. The rule is y = 40x, where x is the distance in inches on the map and y is the distance in miles.
Step-by-step explanation:
Step 1:
The map's key shows that 5 inches on the map equal 200 miles of actual distance.
5 inches on the map = 200 miles of actual distance,
if we divide both sides by 5, we get;
1 inch on the map = 40 miles of actual distance.
Step 2:
If x is the distance on the map in inches and y is the actual distance in miles,
y = 40x.
If the map distance 7 inches, x = 7.
Substituting, x =7 in the equation, .
So the actual distance between the cities is 280 miles.