A cheetah sees a gazelle running at a constant speed of 12.4 m/s. The gazelle is 15 m ahead of the cheetah. The cheetah starts from rest to chase (with constant acceleration) the gazelle. After 4.2 s the cheetah catches the gazelle. a.)Determine the distance that cheetah traveled before it catches the gazelle. b.) What is the acceleration of the cheetah? c.) What is the cheetah's speed when it catches the gazelle?

i need help with Only the last 3 parts ( C D and E)

A car is initially moving with a velocity of +6.0 m/s and travels for 8.0 s with the uniform acceleration of +2.0 m/s^2. the driver then applies the brakes, causing a uniform acceleration of 4.0 m/s^2. the brakes are applied for the 2.0. A. Find the car's speed at the end of the braking period. B. How far has the car traveled during the whole process?

A car is traveling due East at a rate of 36.2 kph and a train is due North at a speed of 74.70 kph and bound to meet at an intersection 1 km for the train and the car. a. Determine the acceleration of the car, If the car reaches the intersection 10 seconds ahead of the train. b. Determine the velocity of the car at the intersection.

HOW?An automobile travels on straight road for 39km at 24km/h. If then continues in the same direction for another 39 km at 48km/h.  a. What is the average velocity of the car during his 78 km trip? (Assume that it moves positive direction) b. What is the average speed?

1. The acceleration of a car is given by a(t) = A – Bt + Ct² , where A = 1.0 m/s², B = 0.5 m/s³, C = 2.0 m/s“. The car is at rest at the origin at time t= 0. Find its position and velocity as a function of time. b. Sketch its position, velocity, and acceleration. a.

A jet plane lands with a speed of 145 m/s and can accelerate at a maximum rate of -7.00 m/?2 as it comes to rest. a. From the instant the plane touches the runway, what is the minimum time interval needed before it can come to rest? b. Can this plane land on a small tropical island airport where the runway is 0.9 km long? Why?

At 10:17 a.m., you pass a police car at 55 mph that is stopped on the freeway. You pass a second police car at 55 mph at 10:53 a.m., which is located 39 mi from the first police car. If the speed limit is 60 mph, can the police cite you for speeding? а. a. The total time between your two police car sightings was P hours. b. Your average speed between the two police car sightings was 8, mph. c. Can the police cite you for speeding? No, your average speed was less than the speed limit. CYes, since your average speed was more than the speed limit, there must have been somewhere within the 39 mi where you were driving more than 60 mph.

24. A rocket is fired upward on a straight upward trajectory at 90 degrees to the surface perfectly, starting from rest with an acceleration of +29.4 m/s² for the first 4 seconds of travel. After finishing these 4 seconds it runs out of gas but continues its upward movement on its original path for a short time. a. b. What is the maximum height it reaches? If after reaching the maximum height it is allowed to fall in free fall in a perfectly linear path towards the earth, what is its final speed just before hitting the ground? Select one: - b. a. Maximum height = 135.8 meters, final velocity = 940.8 meters/seconds Maximum height = 940.8 centimeters, final velocity = 135.8 centimeters/seconds c. Maximum height = 940.8 centimeters, final velocity = 13.58 meters/seconds d. Maximum height = 940.8 meters, final velocity = 135.8 meters/seconds

A circular racetrack has a distance of 755 m. A racer is currently driving her car on the racetrack. As she starts the car from rest, it begins to accelerate to a speed of 120 kph in 9 s. a. Determine the magnitude of the total acceleration of the car, 4 s after the car begins to increase its speed. b. If she maintains the speed of the car to be 120 kph, determine the magnitude of the total acceleration of the car after 5s. c. Upon accelerating to 120 kph, will the car pass its starting point? Prove using kinematic equations.