Question

The tank is to be placed on a hill that is 1 km high above the...

The tank is to be placed on a hill that is 1 km high above the ground. The enemy’s base is located at a horizontal distance of 10 km away and it is in a valley 0.5 km below the ground. Air resistance is neglected. Gravitational acceleration is constant and equal to 9.8?/?2 downwards.

a) If the bomb is to be fired perfectly horizontally, what should the launching speed of the bomb be in order to hit the target?

b) What is the duration it would take the bomb to hit the target?

c) Find x(t) and y(t). Consider the initial location of the tank to be (0, 1 km)?

d) Draw the trajectory of the bomb (x and y coordinates). Indicate clearly the value of x (horizontal displacement) when the bomb reaches the ground level.

e) Draw the ?(?), ??(?), and ??(?) vertical above each other. Indicate key values on the graphs such as the start, the end, the maximum, the minimum and the x and y intercepts

Homework Answers

Answer #1

if convenient please upvote...

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A drone traveling horizontally at 90 m/s over flat ground at an elevation of 4500 meters...
A drone traveling horizontally at 90 m/s over flat ground at an elevation of 4500 meters must drop an emergency package on a target on the ground. The trajectory of the package is given by x=90t, y=-4.9t2+4500, t>=0 where the origin is the point on the ground directly beneath the drone at the moment of release. How many horizontal meters before the target should the package be released in order to hit the target? Round to the nearest meter.
A projectile motion (i.e. cannon) can be modeled via the following equations: x=u cos⁡θ t y=-0.5...
A projectile motion (i.e. cannon) can be modeled via the following equations: x=u cos⁡θ t y=-0.5 g t^2+u sin⁡θ t Where: x: Position of the cannonball after t seconds in the x-direction (meters) y: Position of the cannonball after t seconds in the y-direction (meters) u: Initial velocity of the cannonball (meters per second) g: Acceleration due to gravity (meters per second squared) t: Time (seconds) In this question, we are trying to see the effects of the angle ϴ...
1. A car traveling 69 km/h is 247 m behind a truck traveling 93 km/h. How...
1. A car traveling 69 km/h is 247 m behind a truck traveling 93 km/h. How long will it take the car to reach the track? Calculate to one decimal 2.Suppose one of Napoleon cannons has a muzzle speed of 32m/s. It was aimed at 54 ◦ angle. What height can the cannon ball reach? Use g = 9.8 m/s2 Calculate to one decimal 3.A girl throws a rock horizontally, with a velocity of 13 m/s, from a bridge. It...
A student stands at the edge of a cliff and throws a stone horizontally over the...
A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v0 = 17.5 m/s. The cliff is h = 26.0 m above a flat, horizontal beach as shown in the figure. A student stands on the edge of a cliff with his hand a height h above a flat stretch of ground below the clifftop. The +x-axis extends to the right along the ground and the +y-axis extends up...
A streamlined and compact projectile is launched from flat ground on a valley toward a distant...
A streamlined and compact projectile is launched from flat ground on a valley toward a distant hillside at an Army testing ground in Nevada. The projectile’s initial speed is vi = 150. m/s as it leaves the cannon. The initial angle of launch θi of the projectile is unknown. The projectile makes impact high on the distant hill a time t = 3.00 s after its departure. From GPS sensors we know that the site of impact is a straight-line...
A streamlined and compact projectile is launched from flat ground on a valley toward a distant...
A streamlined and compact projectile is launched from flat ground on a valley toward a distant hillside at an Army testing ground in Nevada. The projectile’s initial speed is vi = 150. m/s as it leaves the cannon. The initial angle of launch θi of the projectile is unknown. The projectile makes impact high on the distant hill a time t = 3.00 s after its departure. From GPS sensors we know that the site of impact is a straight-line...
A streamlined and compact projectile is launched from flat ground on a valley toward a distant...
A streamlined and compact projectile is launched from flat ground on a valley toward a distant hillside at an Army testing ground in Nevada. The projectile’s initial speed is vi = 150. m/s as it leaves the cannon. The initial angle of launch θi of the projectile is unknown. The projectile makes impact high on the distant hill a time t = 3.00 s after its departure. From GPS sensors we know that the site of impact is a straight-line...
1. An Earth satellite moves in a circular orbit 615 km above the Earth's surface. The...
1. An Earth satellite moves in a circular orbit 615 km above the Earth's surface. The period of the motion is 96.8 min. (a) What is the speed of the satellite? (b) What is the magnitude of the centripetal acceleration of the satellite? 2. A rotating fan completes 1200 revolutions every minute. Consider a point on the tip of a blade, at a radius of 0.17 m. (a) Through what distance does the point move in one revolution? (b) What...