Physics problems: kinematics

Projectile motion


Problem 20.

The car drives straight off the edge of a cliff that is 57 m high. The investigator at the scene of the accident notes that the point of impact is 130 m from the base of the cliff. How fast was the car traveling when it went over the cliff?



Problem 32.

The highest barrier that a projectile can clear is 14 m, when the projectile is launched at an angle of 30.0 degrees above the horizontal. What is the projectile's launch speed?



Problem 39.

A dart is thrown horizontally with an initial speed of 10 m/s toward point P, the bull's-eye on a dart board. It hits at point Q on the rim, vertically below P, 0.2 s later. What is the distance PQ? How far away from the dart board is the dart released?



Problem 43.

A swimmer dived off a cliff with a running horizontal leap. What must his minimum speed be just as he leaves the top of the cliff so that he will miss the ledge at the bottom which is 2 m wide and 9 m below the top of the cliff?



Problem 45.

In an action film hero is supposed to throw a grenade from his car, which is going 90.km/h, to his enemy's car, which is going 110 km/h. The enemy's car is 15.8 m in front of the hero's when he lets go of the grenade. If the hero throws the grenade so its initial velocity relative to him is at an angle of 45(degree) above the horizontal, what should the magnitude of the initial velocity be? The cars are both traveling in the same direction on a level road. Ignore air resistance.

Find the magnitude of the velocity both relative to the hero and relative to the earth.



Problem 48.

Problem 4.14 of Serway & Jewett: A firefighter, a distance d from a burning building,
directs a stream of water from a fire hose at angle above the horizontal. If the initial
speed of the stream is , at what height h does the water strike the building?







Problem 61.

A ball is thrown from a point 1 m above the ground.  The initial velocity is 20 m/s at an angle of 40 degrees above the horizontal.

(a) Find the maximum height of the ball above the ground.

(b) Calculate the speed of the ball at the highest point in the trajectory.



Problem 70.

Two cannonballs, A and B, are fired from the ground with identical initial speeds, but with launch angle of cannonball A larger than the launch angle of cannonball B.

(a) Which cannonball reaches a higher elevation?

(b) Which cannonball stays longer in the air?

(c) Which cannonball travels farther?



Problem 79.

The highest barrier that a projectile can clear is 20 m, when the projectile is launched at an angle of 40.0 degrees above the horizontal. What is the projectile's launch speed?



Problem 83.

What is the speed (m/sec) needed for a stunt driver to launch from a 20 degree ramp to land 15 m away?

What is his maximum height?



Problem 85.

A baseball player hits a homerun, and the ball lands in the left field seats, which is 120 m away from the point at which the ball was hit. The ball lands with a velocity of 20 m/s at an angle of 30 degrees below horizontal. Ignoring air resistance

(A) find the initial velocity and the angle above horizontal with which the ball leaves the bat;

(B) find the height of the ball relatively to the ground.



Problem 87.

A rocket is fired at a velocity of 80 m/s from the ground level at an angle of 50 degrees above the horizontal. The rocket is fire toward an 10 m high wall, which is located 20 m away. By how much does the rocket clear the top of the wall?



Problem 110.

Billy now wants to throw a ball at 55 degrees above the horizontal axis to Samantha, who is hanging from her apartment winder 25.0 m above the ground. Her apartment is 45.0 m away from Billy. What initial speed must Billy throw the ball so Samantha can catch it?



Problem 111.

A soccer player kicks a ball so that the ball leaves the ground at an angle of 35 degrees above the horizontal and lands on the ground 25 meters away. Determine the speed at which the ball left the ground.





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