Time of Flight, Maximum Range, and Final Velocity Calculations
What is the time of flight of the block?
(1) The time of flight of the block is 0.45 s.
(2) The maximum horizontal range of the block is 4.5 m.
(3) The final velocity of the block before it strikes the floor is 4.41 m/s.
Answer:
(1) The time of flight of the block is calculated by applying the following formula: t = √(2h/g)
Where:
t is the time of flight
h is the height of the block
g is gravity
By substituting the values, we get:
t = √(2 x 1/ 9.8)
t = 0.45 s
(2) The maximum horizontal range of the block is calculated as: d = vt
Substituting the values:
d = 10 m/s x 0.45 s
d = 4.5 m
(3) The final velocity of the block before it strikes the floor is calculated as: v = u + gt
Where:
u is the initial vertical velocity, which is 0
g is gravity
t is the time of motion
Substituting the values, we get:
v = 0 + 9.8 x 0.45
v = 4.41 m/s
Physics calculations can be both challenging and rewarding. In this scenario, we looked at determining the time of flight, maximum horizontal range, and final velocity of a block in motion. By utilizing the formulas for time of flight, horizontal range, and final velocity, we were able to calculate these quantities accurately.
Understanding the concepts of projectile motion and applying the appropriate equations can lead to successful solutions in physics problems. By being optimistic and persistent in our calculations, we can conquer even the most complex physics challenges.
Remember, practice makes perfect in the world of physics. Keep honing your skills and exploring different scenarios to enhance your problem-solving abilities. With dedication and a positive mindset, you can excel in the fascinating realm of physics.