A cyclist travels 1½ times clockwise around a circular 400 m track in 35 seconds. The cyclist starts at the most northerly point of the track. (Circumference = 2 $$\pi$$ r)

(a) Calculate the Cyclist's average velocity correct to 2 decimal places

(a)  

What was the magnitude of the acceleration of the motor bike while it was accelerating?

(a)  

By how far was the driver still ahead after the traffic cop had been accelerating for 25 s?

(a)  

A car accelerates from 10 $$m.s^{-1}$$ to 25 $$m.s^{-1}$$ in 5 seconds. What is the cars acceleration?

(a)  

A car is accelerated from rest at 6 $$m.s^{-2}$$ until it reaches a speed of 36 $$km.h^{-1}$$ at which point the driver changes into second gear. Acceleration is then continued at 4 $$m.s^{-2}$$ until the car is travelling at 60 $$km.h^{-1}$$ . What is the total distance covered by the car?

(a)  

A car moving at 25 $$m.s^{-1}$$ applies brakes and takes 50 m to stop. What is the cars acceleration?

(a)  

Khaya catches a rugby ball as he is lifted by his teammates in a line out. While he is being lifted at 1,5 $$m.s^{-1}$$ he releases the ball and it bounces on the ground 3 m below.

Ignore air resistance

Calculate the magnitude of the velocity the ball hits the ground correct to 2 decimal places

(a)  

Khaya catches a rugby ball as he is lifted by his teammates in a line out. While he is being lifted at 1,5 $$m.s^{-1}$$ he releases the ball and it bounces on the ground 3 m below.

Ignore air resistance

The ball is in contact with the ground for 0,2 s after hiting the ground at 7,81 $$m.s^{-1}$$ and leaves the ground with a velocity of 20,52 km.h-1. Calculate the acceleration of the ball while in contact with the ground. (Assume constant acceleration)

(a)  

Thando throws the netball ball horizontally to Megan in a netball game at a speed of 5 $$m.s^{-1}$$ .

0,5s after the ball is thrown, a player from the other team who is standing next to Thando accelerates from rest at 10 $$m.s^{-1}$$ to intercept the ball. Ignore air resistance.

Calculate how long it would take the player to catch the ball after

the ball was thrown (correct to 2 decimal places)

(a)  

Thando throws the netball ball horizontally to Megan in a netball game at a speed of 5 $$m.s^{-1}$$ .

0,5s after the ball is thrown, a player from the other team who is standing next to Thando accelerates from rest at 10 $$m.s^{-1}$$ to intercept the ball. Ignore air resistance.

Determine the minimum distance needed by the opposition player to intercept the ball

before it reaches Megan.

(a)