Question 8
1 answer:
You might be interested in
Answer:
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: