A football player kicked the ball at the speed of 27.0 m/s as shown in the figure. Determine the range and the height achieved by the ball at the given angle. (Assume that the speeds are the same at a different angle.) Questions: 1. What is the distance traveled by the ball at 20°? 2. How would you compare the distance travelled by the ball at angles of 35° to 55°? 3. At what angle of projection is the distance travelled maximum?

Q2. A plane has an airspeed of 915 km/h. The pilot sets the heading at [S34°E]. There is an 84 km/h wind headed [W12°N]. [A7, C4] a) Draw and label the vector diagram for the wind and plane's velocities. b) Calculate the velocity of the plane as seen by an observer on the ground.

Projectile motion A projectile is launched from the origin, which is a point 50 ft from a 30-ft vertical cliff (see figure). It is launched at a speed of 50√2 ft/s at an angle of 45° to the horizontal. Assume the ground is horizontal on top of the cliff and that only the gravitational force affects the motion of the object.a. Give the coordinates of the landing spot of the projectile on the top of the cliff.b. What is the maximum height reached by the projectile?c. What is the time of flight?d. Write the integral that gives the length of the trajectory.e. Approximate the length of the trajectory.f. What is the range of launch angles needed to clear the edge of the cliff?

SOLVE STEP BY STEP IN DIGITAL FORMAT! PLEASE! A bullet is fired with a horizontal speed of 30 m/s from the top of a 80 m hill.a. How long will it take to hit the ground?b. How far from the foot of the top will the collision be?c. What will be the impact speed?