A+car+accidently+rolls+off+a+cliff. as+it+leaves+the+cliff+it+has+a+hor izontal+velocity+of+13+m/s, it+hits+the+ground+60m+from+the+sho reline.+calculate+the+height+of+the +cliff.

104.6 m

Explanation:

The motion of the car is a projectile motion, consisting of:

- A horizontal motion at constant speed

- A vertical motion at constant acceleration (acceleration of gravity)

We know that:

The initial horizontal velocity of the car is , and this is constant during the entire motion, as there are no forces in the horizontal direction

is the horizontal distance travelled by the car

Therefore, we can find the total time of flight of the car:

Now we analyze the vertical motion, which is a free fall motion, so we can use the suvat equation:

where

s is the vertical displacement (= the height of the cliff)

u = 0 is the initial vertical velocity

t = 4.62 s is the time of flight

is the acceleration of gravity

Solving for s, we find the height of the cliff:

they start with the same

come closer and become far apart and become steam/gas