# Projectile Motion Problem with stunt driver

• orbits
In summary, the stunt driver needs to have a horizontal velocity component of 36.8 m/s to land safely on the soft padding located 90m from the base of the cliff. To achieve this velocity, he needs to have a distance of 135.42 m to build up the required speed before the jump.
orbits
Stunt driver hired to do a scene where a motorcycle speeds horizontally off a 30m high cliff. There's a soft landing pad located 90m from the base. Ignore air resistance. (A) How fast must he go land on the soft padding? (B) the motorcycle has an acceleration of 5 m/s^2 on a dry road surface, he needs a certain distance from the edge to build up required speed. What is the distance?

My attempt: (A) Y= Yo + Vxo(T) + 1/2 (g) (T^2) ---> 0= 30 + 0 + (-5) T^2 --->T=sq.rt 6 ---> T=2.44s (we use 10 instead of 9.8)

Xf= Xo + Vxo(T) + 1/2 (Ax) T^2 ---> 90=0 + Vxo (2.44) +0 ---> Vxo = 36.8 m/s

(B) X=Xo+VxoT + 1/2 (Ax)T ---> X-Xo= (36.8)(2.44) +0 ---> Displacement = 89.8 m

Did I do this correct?

Question is asking "build up required speed" ... So what distance he needs to come with horizontal velocity component of 36.8 m/s (which looks good) if he has acc of 5 m/s^2 ... That is before he jumps so the time he is in the air has nothing to do here.

So would I use:

(Vf)^2 = (Vxo)^2 + 2(Ax) (Displacement)

0-36.8^2 = 10 (Displacement)
1354.24/10 = Displacement = 135.42 m

## 1. What is projectile motion?

Projectile motion is the motion of an object that is launched into the air and then moves along a curved path under the influence of gravity.

## 2. How does it relate to stunt driving?

Stunt driving often involves launching a car off a ramp or other platform, causing it to move in a parabolic path due to the forces of gravity and the car's initial velocity. This is an example of projectile motion.

## 3. What factors affect the path of the car in a projectile motion stunt?

The initial velocity, angle of launch, and the forces acting on the car (such as gravity and air resistance) all affect the path of the car in a projectile motion stunt.

## 4. How can projectile motion be calculated for a stunt driving scenario?

To calculate projectile motion for a stunt driving scenario, the initial velocity and angle of launch must be known. Then, using mathematical equations and principles of physics, the path of the car can be determined.

## 5. What safety precautions should be taken when performing a stunt involving projectile motion?

It is important to ensure that the ramp or platform used for the stunt is sturdy and properly secured. The stunt driver should also wear appropriate safety gear and be trained in stunt driving techniques. A thorough risk assessment should also be conducted before attempting the stunt.

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