1. a man stands on top of a 25 m tall cliff. the man throws a rock upwards at a 25-degree angle above the horizontal with an initial velocity of 7.2 m/s. what will be the vertical position of the rock at t = 2 seconds? what will be the horizontal position of the rock at that time?
2. a cannon fires a cannonball forward at a velocity of 48.1 m/s horizontally. if the cannon is on a mounted wagon 1.5 m tall, how far would the cannonball travel before it lands on the ground?
3. look at the following picture. what would be the resultant vector of a+b?
4. an airplane undergoes the following displacements: first, it flies 72 km in a direction 30° east of north. next, it flies 48 km due south. finally, it flies 100 km 30° north of west. using analytical methods, determine how far the airplane ends up from its starting point.
5.the following picture shows a golf ball being hit and given an initial velocity of v0. the ball is hit at an unknown angle above the ground. what are two values that are known, even in the absence of all other numbers?

These are the answers for 1, 2 and 3

Explanation:

Sorry I couldn't help you with 4 and 5

1.

y = 11.48 m

x = 13.0 m

Explanation:

Components of initial velocity is given as

Now after t = 2 s the vertical position is given as

Now horizontal position is given as

2.

d = 26.6 m

Explanation:

Initial position on y axis is given as

velocity of ball in y direction

now we have

now the distance moved by the ball in horizontal direction is given as

3

Explanation:

Here we can see the two vectors inclined at different angles

so two components of vector A is given as

Similarly for other vector B we have

now we need to find A + B

so we have

4.

d = 81.86 m

Explanation:

Displacement of airplane is given as

= 72 km in direction 30 degree East of North

= 48 km South

= 100 km in direction 30 degree North of West

so net displacement is given as

now magnitude of displacement is given as

5.

1) final speed at which it will hit the ground again

2) acceleration during the motion of the ball

Explanation:

As we know that the speed at which the ball is thrown is always same to the speed by which it will hit back on the ground

so we know that final speed will be same as initial speed

Also we know that during the motion the acceleration of ball is due to gravity so it will be

weight of the box is given as

here this is placed on the inclined of angle 42 degree

now this weight will have two components one is along the incline other is perpendicular to it

so here we need to apply a force parallel to incline opposite to its component of weight

so here the component of weight is given as

here we have

so it requires 75 n force to move it upwards