The concepts necessary to solve this problem are those given by the kinematic equations of motion. We will apply the speed as a unit of distance traveled in a given time.
The total distance of 50 miles is traveled with a speed of 34mph in the time 
and the distance of another 50 miles is traveled with a speed 66mph in the time 
.
Determine the value of as follows.
Where t=time, d=distance, v= Velocity
Determine the value of as
Therefore the total time taken is
The above result is the total time taken to reach the grandmother's house
Now the average velocity is
Therefore the average speed on the way to grandmother's house is 44.87mph
The range (maximum horizontal distance) travelled by a projectile is given by the formula
R = V^2(sin 2A)/g
where
R = range
V = initial velocity of ball = 64 ft/sec. (given)
A = angle of launch = 45 degrees (given)
g = acceleration due to gravity = 32.2 ft/sec^2 (constant)
Substituting values,
R = 64^2(sin 2*45)/9.8
R = 127.20 feet
Since the receiver is 60 yards away (180 feet), he will have to travel a distance of 180 - 127.20 = 52.80 feet to catch the ball.
The ball's total travel time is given by the formula
T = 2V(sin A)/g
where all the terms have been previously defined.
Substituting values,
T = 2(64)(sin 45)/32.2
T = 2.82 sec.
Therefore, in order for the receiver to catch the ball, his speed must be equal to
52.80/2.82 = 18.72 ft/sec.
Hope this helps ya
The answer is frame of reference ( system ).
Frame of reference <span>is a physical concept related to state of motion.
hoped it helped!!</span>
Too much smoke and debris around the house?
A cause the sugar cubes are small enough to dissolve fast
