Vehicle B is stopped at a traffic light. At the instant that the light turns green, vehicle B starts to accelerate at 3 ft/sec2. At this instant, vehicle A is 300 feet behind vehicle B, traveling at a constant speed of 45 ft/sec. a) At what distance past the light will vehicle A overtake vehicle B? b) At what distance past the light will vehicle B overtake vehicle A? c) Sketch the x-t, v-t, and a-t curves for both vehicles.

1.) Let sA = 15t^2 + 10t + 20 and sB= 5t^2 + 40t, where t ≥ 0, be the position functions of cars A and B, respectively, that are moving along parallel straight lanes of a highway (here, t is in minutes and s in feet). a.) At what instant of time do they have the same velocity? b.) Which car is ahead when the two cars have the same velocity? Please show your complete solution thanks.

1. A ball is thrown vertically upward from the ground with a speed of 36.0 m/s. Suppose the acceleration of gravity were only 2.00 m/s² instead of 9.80 m/s² a) At what time after being thrown does the ball have a velocity of 12.0 m/s upward? b) At what time does it have a velocity of 12.0 m/s downward? c) When is the velocity of the ball zero? d) When is the displacement of the ball zero? e) What are the magnitude and direction of the acceleration while the ball is moving upward? f) What are the magnitude and direction of the acceleration while the ball is moving downward? g) What are the magnitude and direction of the acceleration when it is at the highest point?

A dolphin in an aquatic show jumps straight up out of the water at a velocity of 15 m/s.   A: How long is the dolphin in the air in seconds? Neglect any effects due to his size or orientation.

6. A stunt man drives a car at a speed of 20 m/sec off a ramp that is 30 m above the ground. The ramp leading up to the take-off point is inclined at 20°. a) What is the time for the upward part of the motion only? b) What is the maximum height of the car relative to the ground? c) How far from the base of the cliff does the car land?

Captain Marvel jumps straight up in the air with a velocity of 30m/s straight up. She reaches a maximum height and then falls back down due to gravity to the same level. This is not a projectile question. a) what max height will she reach? b) How long will it take her to return to the same height from which she jumped c) What will her velocity be when she is just about to hit the ground at the same level she jumped from