# Question #ba0bf

##### 3 Answers

See the solution below.

#### Explanation:

Assuming that there is no drag experienced by the ski jumper. Also assume that Cartesian coordinate system has its origin at the point when jumper leaves the ramp.

At the time of jump, the ski jumper has given velocity

It has two components

It is clear that initially he will rise up and then start falling down due to action of gravity. The acceleration due to gravity

(a) Imagine a right angled triangle where

Hence

(b) The

Inserting the

Inserting value of sin of the angle from the table

There is no change in the

d=48.051 meters

#### Explanation:

a)

b)

(a)

(b)

#### Explanation:

(a)

The key to these projectile problems is to treat the vertical and horizontal components of the motion separately and use the fact that they share the same time of flight.

Fig 1

I will use the vertical and horizontal components to eliminate

Then by simple trigonometry I will find

Considering the vertical component I will use:

I will use the convention that "up" is -+ve.

This becomes:

Considering the horizontal component, for which the velocity is constant, we can write:

From the geometry of the system we can also write:

Now we can set about eliminating

From

From

Combining these we get:

We can now substitute this value of

This is a quadratic equation for which:

Ignoring the zero root:

The minus sign signifies the downward direction.

From fig.1 we can say that:

(b)

For the horizontal component of velocity:

For the vertical component we can use:

This becomes: