Three pairs of initial and final positions along an x-axis represent the location of objects at two successive times: 3. 7 m, -3 m a. Which pairs give a negative acceleration? 1. -3 m, +5 m b. Calculate the value of displacement in each case using vector notation. 2. -3 m, -7 m

A ball is kicked at an angle of 55 with initial velocity of 40 m/s. A. Find the time it takes to reach the maximum height B. Find the maximum height C. Find the horizontal distance covered by the ball after landing.

An alaskan rescue plane drops a supply box to some stranded gold miners.  The plane has a horizontal velocity of 100.0 m/s and is at a height of 75 m when it drops the box.  What is the final velocity of the box as it hits the ground?  How far horizontally did the box travel before hitting the ground? A) Final box velocity      B) Horizontal travel of box

Please help with parts g and h Two velocity vectors are defined as follows: v1 = 40.0 m/s, 50.0 degrees cw from the +x axis  v2 = 30.0 m/s, 75.0degrees cw from the -y axis     d) Calculate the x- and y-components of v2. Write the vector v2 in terms of its components using unit vector notation.     e) Calculate the x- and y-components of the change in velocity defined as Δv= v2-v1. Write the vector Δv in terms of its components using unit vector notation.     f) Sketch the vector Δv on an x-y grid. Define a relevant angle symbolically whose numerical value you will calculate in the next part.   g) Calculate the magnitude and direction of the vector Δv.   h) Finally, write the vector Δv in terms of its magnitude and direction.

Here you are designing a motorcycle stunt where the motorcycle leaves a ramp at an angle θ and lands on another ramp of the same height. You need to know where to place the second ramp. You will make a mathema1cal model to predict the range (i.e., to predict how far the motorcycle will land from the first ramp).

A projectile is launched with an initial velocity of 40.8 m/s at an angle of 34.6 degrees with respect to the horizontal. In meters, what is the maximum upward displacement of the projectile? H

Initial height = 27 m. Initial velocity = 23 m/s. Initial angle = 29 degrees.   Find the velocity when it reaches the ground (just before it hits).   a) Enter your answers for both the magnitude and direction of the velocity. Enter just the numerical answers below, including units

Lesson: Projectiles When there is air resistance present how to the velocity and acceleration vectors behave? O The acceleration vector is perpendicular to the trajectory and the velocity vector is at a tangent to it. O The acceleration changes throughout the flight with its x-component opposite the direction of motion. The velocity vector is at a tangent to the trajectory O The acceleration vector is constant and points straight down. The velocity vector is at a tangent to the trajectory O The acceleration and velocity vectors are both constant magnitude but continually change direction.

A car is moving with velocity v as shown. The driver notices a deer ahead then he hits the brake to slow down the car. Which arrow best represents the acceleration vector of the car? O (H) (G) O (F) O (E) ○ (D) (B) ○ (C) O (A) ○ (1) V G. H. B. C. La=0 F D. E.

▼ Part A Constants How much time does it take the walker to make the round trip? Two piers, A and B, are located on a river: B is 1500 m downstream from A (Figure 1). Two friends must make round trips from pier A to pier B and return. One rows a boat at a constant speed of 4.00 km/h relative to the water; the other walks on the shore at a constant speed of 4.00 km/h. The velocity of the river is 2.80 km/h in the direction from A to Express your answer using two significant figures. min Submit Request Answer Figure 1 of 1 ▼ Part B How much time does it take the rower to make the round trip? Express your answer using two significant figures. 1500 m min U cunrent Submit Request Answer