A driver travelling at 50mph is 80 m from a wall ahead. If the driver applies the brakes immediately (perception time is 2 seconds) and begins slowing the vehicle at 10m/. Find the distance from the stopping point to the wall. Ans. 10.28m
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- A student fires a cannonball diagonally upwards with an initial speedv at an angle O as shown. Determine all unknowns and answer the following questions. Neglect drag and the initial height of the cannonball, Calculate the total flight time (t) and range (r) in each of the following cases. v [m/s] t[s] r [m] 20.0 35.0 25.0 35.0 30.0 35.0 35.0 35.0 35.0 55.0Use the graph below to answer the next three questions. Two projectiles are launched on a planet without an atmosphere (g is NOT 9.8 m/s). Projectile A is in motion for 6 seconds, while projectile B is in motion for 3 seconds before hitting the ground. The +x direction is horizontal and the +y direction is up. 40 32 16 B. 2. 8. x (meters) 10 12 y (meters) 24A skier starts at the top of a very large, frictionless snowball, with a very small initial speed, and skis straight down the side (Fig. ). At what point does she lose contact with the snowball and fly off at a tangent? That is, at the instant she loses contact with the snowball, what angle a does a radial line from the center of the snowball to the skier make with the vertical?
- answer both part a and b. thank you!Solve #3, including: a, b, and cA student fires a cannonball diagonally upwards with an initial speed v at an angle 0 as shown. Determine all unknowns and answer the following questions. Neglect drag and the initial height of the cannonball. Calculate the total flight time (t) and range (r) in each of the following cases. v [m/s] e [º] t [s] r [m] 30.0 40.0 50.0 60.0 60.0 55.0 55.0 55.0 55.0 75.0 00000 0
- A golf ball is struck with an initial velocity of 10m/s at an angle of 30 degrees above the horizontal. Please draw a picture of the situation in a 2-dimensional coordinate system. Please draw one ball at the initial position and one at the maximum height of the trajectory. We will call that maximum height the 'final position' for this example. Label Xi, yi Draw and label the vectors Vi, Viy, and Vix for the 'initial' state of the ball.One day, you are driving your car down the highway, and you notice that you are driving well over the speed limit. You apply the brakes of the carapplying a variable stopping force, until the car slows down to a rea sonable speed of 22.4 m/s (50 mph)A computer plots the force versus time for the vehicle and then measures the area under the curve. It is found that the area is - 18.950N . The total breaking time was 5.4 s. Given that the combined mass of you and your car 1sm = 1200 kg how fast were you moving before applying the breaks? What is the average force applied by the road to the car during breaking? (Note: 1Ns=1kg* m/s)A beam is supported by a roller at A and a pin at B. Determine the reactions at A and B when P = 15 kips. Neglect the weight of the beam.
- An ant crawls on the surface of a ball of radius b in such a manner that the ant's motion is given in spherical coordinates by the equations r = b; phi = omega*t; theta = pi/2 * [1 + 1/4 * cos(400t)] Find the speed of the ant as a function of the time t. What sort of path is represented? by the above equations ?at what height h A firefighter, a distance d from a burning building, directs a stream of water from a fire hose at angle 0; above the horizontal as in the figure. If the initial speed of the stream is v¡, does the water strike the building? (Use any variable or symbol stated above along with the following as necessary: g.) h =