The projectile

The projectile was fired horizontally from a height of h = 25 meters above the ground at a speed of v0 = 250 m/s.
Find the range and flight time of the projectile.

Correct result:

x =  0.5644 km
t =  2.2576 s

Solution:

$$\begin{gathered} g=9.81{\text{m/s}}^2 \\ h=25\text{ m } \\ {v}_0=250\text{ m/s } \\ t=\sqrt{{\displaystyle \frac{2\cdot h}{g}}}=\sqrt{{\displaystyle \frac{2\cdot 25}{9.81}}}\doteq 2.2576\text{ s } \\ {x}_1=v_0\cdot t=250\cdot 2.2576\doteq 564.4046\text{ m } \\ x=x_1\to \text{ km}=x_1\mathrm{/}1000\text{ km}=564.4046\mathrm{/}1000\text{ km}=0.564\text{ km}=0.5644\text{ km} \end{gathered}$$

Try another example

Showing 0 comments:

Next similar math problems:

• Acceleration
  The car accelerates at rate 0.5m/s². How long travels 400 meters and what will be its speed?
• Up and down motion
  We throw the body from a height h = 5 m above the Earth vertically upwards v0 = 10 m/s. How long before we have to let the second body fall freely from the same height to hit the Earth at the same time?
• Bomber
  The aircraft flies at an altitude of 4100 m above the ground at speed 777 km/h. At what horizontal distance from the point B should be release any body from the aircraft body to fall into point B? (g = 9.81 m/s²)
• Free fall
  The free fall body has gone 10m in the last 0.5s. Find the body speed at the moment of impact.
• Broken tree
  The tree was 35 meters high. The tree broke at a height of 10 m above the ground. Top but does not fall off it refuted on the ground. How far from the base of the tree lay its peak?
• Free fall
  How long does the stone fall freely into a depth of 80m? What speed will it hit the bottom of the abyss?
• Brakes
  The braking efficiency of a passenger car is required to stop at 12.5 m at an initial speed of 40 km/h. What is the acceleration braking by brakes?
• Gravitation
  From the top of the 80m high tower, the body is thrown horizontally with an initial speed of 15 m/s. At what time and at what distance from the foot of the tower does the body hit the horizontal surface of the Earth? (use g = 10 ms-2)
• Ball
  Ball was fired at an angle of 35° at initial velocity 437 m/s. Determine the length of the litter. (g = 9.81 m/s²).
• Skid friction
  Find the smallest coefficient of skid friction between the car tires and the road so that the car can drive at a 200 m radius at 108 km/h and does not skid.
• Motion
  The two bodies move in the same direction evenly in a straight line, at speeds of 5 cm/s and 10 cm/s. The movement of the first body started 2 seconds earlier than the movement of the second body, from a point located at a distance of 20 cm from the start
• Abyss
  Stone was pushed into the abyss: 2 seconds after we heard hitting the bottom. How deep is the abyss (neglecting air resistance)? (gravitational acceleration g = 9.81 m/s² and the speed of sound in air v = 343 m/s)
• The tram
  The tram is moving with acceleration a = 0.3m/s2. How long it will pass the first meter of track? How long does it take 10 meters. What is its speed at the end of the 10 meters track?
• Constant Angular Acceleration
  The particle began to move from rest along a circle with a constant angular acceleration. After five cycles (n = 5), its angular velocity reached the value ω = 12 rad/s. Calculate the magnitude of the angular acceleration E of this motion and the time int
• Paratrooper
  After the parachute is opened, the paratrooper drops to the ground at a constant speed of 2 m/s, with the sidewinding at a steady speed of 1.5 m/s. Find: a) the magnitude of its resulting velocity with respect to the ground, b) the distance of his land fr
• Accelerated motion - mechanics
  The delivery truck with a total weight of 3.6 t accelerates from 76km/h to 130km/h in the 0.286 km long way. How much was the force needed to achieve this acceleration?
• G forces
  Calculate deceleration of car (as multiple of gravitational acceleration g = 9.81 m/s²) which occurs when a car in a frontal collision slows down uniformly from a speed 111 km/h to 0 km/h in 1.2 meters trajectory.