Projectile motion

A ball is thrown from A to B as shown in Fig. 2.1. The ball is thrown with an initial velocity V at 60° to the horizontal. The variation with time t of the vertical component Vv of the velocity of the ball from t = 0 to t = 0.6s is shown in Fig. 2.2. What describes the motion of the ball?

• The ball moves in a straight line.

• The ball follows a parabolic path.

• The ball moves in a circular path.

• The ball remains stationary.

On Fig2.2, sketch the variation with t of Vh. Label this sketch Vh

Calculate the maximum height reached by the ball.（in meter）

(a)  

Calculate the horizontal component Vh of the velocity of the ball at time t=0 (in m/s)

(a)  

Complete Fig2.2 for the time until the ball reaches B.

A scalar quantity is described by its magnitude only, whereas a vector quantity is described by both its magnitude and direction. Which of the following is a scalar quantity?

• Velocity

• Force

• Temperature

• Acceleration

Calculate the vertical velocity of the ball just before it makes impact with the ground at Q.

• 15.0 m/s

• 18.0 m/s

• 22.1 m/s

• 26.7 m/s

Show that the time taken for the ball to fall to the ground is 2.3 s.

Calculate the magnitude of the displacement of the ball at point Q from point P.

(a)  

Explain why the distance travelled by the ball is different from the magnitude of the displacement of the ball.