Physics Kinematics Level: High School
Equation of Motion
A ranger in a national park is driving at 27.4 mi/hr when a deer jumps into the road 215 ft ahead of the vehicle . After a reaction time of t the ranger applies the brakes to produce an acceleration of -8.96 ft/ s^2 . What is the maximum reaction time allowed if she is to avoid hitting the deer ? Answer in units of s .
Physics Kinematics Level: High School
Relative Velocity
A car capable of constant acceleration of 1.53 m/s^2 is stopped at a traffic light . When the light turns green, the car starts from rest with this acceleration . At the very same moment, a truck trveling with constant velocity 19 m/s(42.5018 mi/hr) passes the car. As the cars velocity increases ,it will eventually move faster than the truck and later overtake it. How far from the light will the car catch up with the truck ? Answer in units of m
Physics Kinematics Level: High School
A punter kicks a punt 4.0 seconds later the punt return fields the punt 40 yards down field . Assume that he receives the ball at the same height that it was punted .Find ,a. Vxo
b. Vyo
c. Vo
Physics Kinematics Level: High School
A ball is thrown from the ground vertically upward at 20 m/s .(a) how high does it go up ?
(b) how long to reach its highest point
(c) how long till it hits the ground ?
(d) What is the velocity that it has when it returns to the level from which it started ?
Physics Kinematics Level: High School
A mountain climber throws a stone straight down into a mountain pool 50 meters below . The stone has an initial velocity of 2 m/s straight down .(a)How long till the stone hits the water .
(b) Suppose he throws a second stone 1 second later . With what velocity would he have to throw the second stone if both stones hit at the same time .
Physics Kinematics Level: High School
A plane flies 40 km due north in level flight . The pilot then flies 100 km at a heading of 45 degrees east of north . Next he flies 20 km due south . Find the displacement vector that describes his final position .
Physics Kinematics Level: High School
A projectile is launched into the air with a velocity of 30 m/s at an angle of 30 from the horizontal . Assume that there is no friction and that the ground is level . Find Vxo and Vyo , the maximum height the projectile reaches , the distance it travels when it hits the ground , and the final velocity of the ball (magnitude and direction)
Physics Kinematics Level: High School
A sky diver , with parachute unopened, falls 625 m in 15 seconds . Then she opens her parachute and falls another 356 m in 142 s . what is her average velocity(both magnitude and direction) or her entire fall ?
Physics Kinematics Level: High School
An 18 year old runner can complete a 10. km course with an average speed of 4.38 m/s . A 50 year old runner can cover the same distance with an average speed of 4.27 m/s . How much later should the younger runner start in order to finish the course at the same time as the older runner ?
Physics Kinematics Level: High School
Give an example for which the velocity of an object is zero for just an instant of time , but its acceleration is zero .Physics Kinematics Level: High School
A particle moves in the xy plane with constant acceleration . At time zero , the particle is at x = 3m , y = 10m and has velocity v = 6m/s i + -9m/s j . a = 2m/s2 i + 7m/s2 j . The acceleration is given by the vector.(a) Find the velocity vector at t = 6s. 18 m/s i + 33 m/s j
(b) Find the position vector at t = 3s. 30m i + 14.5 m j
Give the magnitude and direction of the position vector.33.32 m 25.8 degree (from the +x – axis)
Physics Kinematics Level: High School
How far does the runner whose velocity-time graph is shown at “click here” travels in 12 seconds ?
Physics Kinematics Level: High School
A hot-air balloon is ascending at the rate of 10 m/s and is 91 m above the ground when a package is dropped over the side.(a) How long does the package take to reach the ground ?
Physics Kinematics Level: High School
Raindrops fall 1600 m from a cloud to the ground.(a) If they were not slowed by air resistance, how fast would the drops be moving when they struck the ground ?
(b) Would it be safe to walk outside during a rainstorm ?
Physics Kinematics Level: High School
An electric vehicle starts from rest and accelerates at a rate of 2.8 m/s^2 in a straight line until it reaches a speed of 16 m/s. the vehicle then slows at a constant rate of 1.0 m/s^2 until it stops.(a) How much time elapses from start to stop ?
(b) How far does the vehicle travel from start to stop ?
