Final answer:
To calculate the distance a coyote will land from the base of the cliff after running off a 400m high cliff at 88 m/s, use the time of flight formula and then multiply the horizontal velocity by the time of flight.
Step-by-step explanation:
The question asks us to determine how far away from the base of the cliff a coyote will land after running off the edge of a 400m high cliff at a velocity of 88 m/s, assuming that there is no air resistance. To solve this, we can use the equations of motion for projectile motion.
The time of flight (t) can be calculated using the formula for the free fall of the coyote from the cliff, which is based on the equation of motion h = 1/2gt^2 where h is the height of the cliff and g is the acceleration due to gravity. We can solve for t by rearranging the formula to t = sqrt(2h/g).
Then, the horizontal distance (range) that the Coyote will cover can be found with the formula range = horizontal velocity * time of flight. Plugging in the values we have, the horizontal distance can be calculated as follows:
- Time of flight: t = sqrt(2 * 400m / 9.8 m/s^2)
- Range = 88 m/s * t
From the above calculation, we can determine the range, which is the horizontal distance covered by the Coyote before hitting the ground.