A stunt driver is approaching a cliff at very high speed. Sensors in his car have measured the acceleration and velocity of the car, as well as all forces acting on it, for various times. The driver’s motion can be broken down into the following steps: Step 1: The driver, beginning at rest, accelerates his car on a horizontal road for ten seconds. Sensors show that there is a force in the direction of motion of 6000N, but additional forces acting in the opposite direction with magnitude 1000N. The mass of the car is 1250kg. Step 2: Approaching the cliff, the driver takes his foot off of the gas pedal (There is no further force in the direction of motion.) and brakes, increasing the force opposing motion from 1000N to 2500N. This continues for five seconds until he reaches the cliff. Step 3: The driver flies off the cliff, which is 44.1m high and begins projectile motion. a. Ignoring air resistance, how long is the stunt driver in the air? b. Calculate the distance that the stunt driver should land from the bottom of the cliff
A stunt driver is approaching a cliff at very high speed. Sensors in his car have
measured the acceleration and velocity of the car, as well as all forces acting on it, for
various times. The driver’s motion can be broken down into the following steps: Step 1:
The driver, beginning at rest, accelerates his car on a horizontal road for ten seconds.
Sensors show that there is a force in the direction of motion of 6000N, but additional
forces acting in the opposite direction with magnitude 1000N. The mass of the car
is 1250kg. Step 2: Approaching the cliff, the driver takes his foot off of the gas pedal
(There is no further force in the direction of motion.) and brakes, increasing the force
opposing motion from 1000N to 2500N. This continues for five seconds until he
reaches the cliff. Step 3: The driver flies off the cliff, which is 44.1m high and
begins projectile motion.
a. Ignoring air resistance, how long is the stunt driver in the air?
b. Calculate the distance that the stunt driver should land from the bottom of the cliff
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