A dare devil decide to jump a canyon. Its walls are equally high and 10m apart. He takes off by driving a motor cycle up a short ramp sloped at an angle of 15 degrees. What minimum speed must he have in order to clear the canyon.

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<br>This is a case of projectile motion.
<br>If a body is projected upwards (no angles involved) it will reach a height where its Kinetic Energy gets converted to potential form. At this point we can write,
<br>
<br>(1/2)m u^2 = m g h
<br>
<br>U^2 = 2gh
<br>where h is the ...

In a local bar, a customer slides an empty beer mug down the counter for a refill. The bartender is momentarily distracted and does not see the mug, which slides off the counter and strikes the floor at distance d from the base of the counter. The height of the counter is h.
(a) With what speed did the mug leave the counter?

Scientists are experimenting with a kind of gun that may eventually be used to fire payloads directly into orbit. In one test, this gun accelerates a 5.0-kg projectile from rest to a speed of 4.0 x 10^3 m/s^2. The net force accelerating the projectile is 4.9 x 10^5 N. How much time is required for the projectile to come up to sp

An arrow is shot at 30.0° above the horizontal. Its initial speed is 45 m/s and it hits the target.
(a) What is the maximum height the arrow will attain?
___ m
(b) The target is at the height from which the arrow was shot. How far away is it?
___ m

A projectile is fired with initial velocity v (LT^-1) at an angle θ (M^0L^0T^0) with the horizon. You may expect that the gravity acceleration g (LT^-2) affects R (L) .
a) Use dimensional analysis to understand the dependence of R on v, g, and θ .
b) Describe approximately the influence of θ on R .

1) a) Find the angle required to maximize the range down an incline which is pitched at an angle of −θ with respect to the horizontal and the projectile is shot an angle of φ above the incline at a speed of v0 .
b) Determine the distance down the incline at the angle found in a).
c) Plot the trajectory gi

A projectile is launched vertically from the surface of the Moon with an initial speed of 1400 m/s. At what altitude is the projectile's speed three fifths its initial value?
Show all your work and calculations and the final answer.

A projectile of mass 20.2 kg is fired at an angle of 65.0 degrees above the horizontal and with a speed of 84.0 m/s. At the highest point of its trajectory the projectile explodes into two fragments with equal mass, one of which falls vertically with zero initial speed. You can ignore air resistance.
a) How far from the point

A projectile is fired horizontally from a gun that is 51.0 m above flat ground, emerging from the gun with a speed of 110 m/s.
(a) How long does the projectile remain in the air?
(b) At what horizontal distance from the firing point does it strike the ground?
(c) What is the magnitude of the vertical component of its vel

Please see the attached file for full problem description.
A bomb flying in level flight must release its bomb before it is over the target. Neglecting air resistance, which one of the following is NOT true?
see attached.