Horizontal Range and Maximum Height of a Projectile
Horizontal Range and Maximum Height of a Projectile
Problem 1:
A ball is thrown horizontally from a height of 5.50 m with an initial speed of 25 m/s. (a) how long will it
take the ball to reach the ground? (b) at what horizontal distance from the point of release will it strike
the ground? (c) what will be the magnitude of its velocity when it strikes the ground? (d) at what
direction will it strike the ground?
Problem 2:
A long jumper leaves the ground at an angle of 200 above the horizontal and at a speed of 11 m/s. (a)
how far does he jump in the horizontal direction, (b)what is the maximum height reached?
Problem 3:
A stone is thrown from the top of a building upward at an angle of 30.0° to the horizontal with an initial
speed of 20.0 m/s as shown in Figure 4.13. The height from which the stone is thrown is 45.0 m above
the ground. (A) How long does it take the stone to reach the ground?
Problem 4
Mayan kings and many school sports teams are named for the puma, cougar or the mountain lion –
felisconcolor –the best jumper among the animals. It can jump to a height of 12 ft when leaving the
ground at an angle of 450. With what speed, in SI units, does it leave the ground to make this leap?
Problem 5
A projectile is fired in such a way that its horizontal range is equal to three times its maximum height.
What is the angle of projection?
Problem 6
A ball was thrown horizontally with a velocity of 100 ft/s from a height of 200 ft. How far did it go and
what time did it strike the ground?
Problem 7
A ball was thrown from the top of a tower with a velocity of 6 m/s in a direction 300 below the horizontal.
If the height of the tower is 18 m, how far will it hit the ground measured from base of a tower?