Question

In: Math

A long jumper leaves the ground with initial vertical velocity of 4.0 m.s-1 and an initial...

A long jumper leaves the ground with initial vertical velocity of 4.0 m.s-1 and an initial horizontal velocity of 3.0 m.s-1.

How do you find the total flight time and horizontal distance traveled?

Solutions

Expert Solution

We have given that

And

Total flight time will be given by

Acceleration due to gravity we have taken as

So we get

T=8/10=0.8 second

And

Horizontal distance is given by

Since during the projectile motion

So

So v= 5 m/s

Now

So we have now

Since

So

So

R=2.4 m

If we take the acceleration due to gravity as

Then

Time of flight

T=8/9.8

T= 0.8163265306122 second

And

Horizontal distance will be

R=24/9.8

R=2.4489795918367 meter


Related Solutions

1- A long jumper leaves the ground at an angle of 17.0
1- A long jumper leaves the ground at an angle of 17.0
16. A 1.8-kg projectile is fired from level ground. The vertical component of the initial velocity...
16. A 1.8-kg projectile is fired from level ground. The vertical component of the initial velocity is 80 m/s and the horizontal component is 16 m/s. Ignore air resistance and the curvature of the earth in this problem. How far in meters does the projectile travel horizontally? 19. If one platter of lasagna uses 1.5 cups of tomato sauce, how many cups of tomato sauce will 4 platters of lasagna require? 20. A sprinter runs 53 meters in 7 seconds....
A rock is thrown with an initial vertical velocity component of 30 m/s and an initial...
A rock is thrown with an initial vertical velocity component of 30 m/s and an initial horizontal velocity component of 40 m/s. a. What will these velocity components be one second after the rock reaches the top of its path? b. Assuming the launch and landing heights are the same, how long will the rock be in the air? c. Assuming the launch and landing heights are the same, how far will the rock land from where it was thrown?...
An athlete performing a long jump leaves the ground at a 33.3 degrees angle and lands...
An athlete performing a long jump leaves the ground at a 33.3 degrees angle and lands 7.75 m away. What was the takeoff speed? If this speed were increased by just 5.0%, how much longer would the jump be?
an athelete performing a long jump leaves the ground at a 27.2 degree angle and lands...
an athelete performing a long jump leaves the ground at a 27.2 degree angle and lands 7.76 meters away. what was the takeoff speed? if this speed were increased by 4.0%, how much longer would the jump be?
A particle leaves the origin with an initial velocity of 4.10 m/s in the x direction,...
A particle leaves the origin with an initial velocity of 4.10 m/s in the x direction, and moves with constant acceleration ax = -1.40 m/s2 and ay = 3.80 m/s2. How far does the particle move in the x direction before turning around? What is the particle's velocity at this time? Enter the x component first, followed by the y component.
A. A ball is launched from ground level, as in the simulation above, with initial velocity...
A. A ball is launched from ground level, as in the simulation above, with initial velocity components of 40.0 m/s horizontally and 42.0 m/s vertically. Use g = 10 m/s/s, and neglect air resistance. Exactly 2.00 seconds after launch, what is the angle of the ball’s velocity, measured from the horizontal? _______ degrees B. A ball is launched from ground level, as in the simulation above, with initial velocity components of 40.0 m/s horizontally and 42.0 m/s vertically. Use g...
A golfer hits a ball from the horizontal ground, giving it an initial velocity of 35...
A golfer hits a ball from the horizontal ground, giving it an initial velocity of 35 m/s at an angle of 28º to the horizontal. Where will the ball be 2.4 s after it is hit? What will be the greatest height reached by the ball? Where will the ball land? A rock is thrown at 45º from an initial height of 1.8 m from the ground. The rock reaches its maximum height 2.0 s after its release. Find the...
A bullet of mass m is fired from the initial ground velocity of magnitude v0 at...
A bullet of mass m is fired from the initial ground velocity of magnitude v0 at elevation angle θ0. (a) Express her momentum relative to the location of the shot as a function of time. (b) How fast does the momentum change? (c) Calculate the size vector r × F directly and compare it with the result of problem (b). Why both results are identical
On level ground a shell is fired with an initial velocity of 36.0 m/s at 58.0...
On level ground a shell is fired with an initial velocity of 36.0 m/s at 58.0 ∘ above the horizontal and feels no appreciable air resistance. ((INCLUDE ALL ANSWER WITH THE UNITS LIKE m/s OR WHATEVER)) THANK YOU A) Find the horizontal and vertical components of the shell's initial velocity. B) How long does it take the shell to reach its highest point? C) Find its maximum height above the ground. D) How far from its firing point does the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT