In all these questions

*ignore air resistance*unless otherwise stated.**Question 1**

At t=0, a ball is thrown with an initial velocity of magnitude 15ms^{-1} at 75° to the horizontal (upwards). | |

a) | Calculate the magnitudes of the vertical and horizontal components of its initial velocity. |

b) | Calculate the magnitude of the vertical component of velocity of the ball at t=0·5s. |

c) | Calculate the magnitude of the vertical component of velocity of the ball at t=2·0s. Which way is the ball moving at this time? |

d) | What is the magnitude of the horizontal component of velocity at t=2·0s? |

**Question 2**

A projectile is thrown upwards at 60° to the horizontal with an initial speed of 30ms^{-1}, calculate | |

a) | the time taken for the projectile to return to its starting height |

b) | the range of the projectile (the horizontal distance moved over a horizontal surface). |

**Question 3**

A ball is thrown upwards at 50° to the horizontal with an initial speed of 15ms^{-1}. Calculate the magnitude of its velocity when it is at its maximum height. |

**Question 4**

A ball is thrown with a velocity of 25ms^{-1} horizontally. Find the magnitude and direction of its velocity after 1·25s (assuming that the ball has not reached the ground at this time). |

**Question 5**

An arrow is shot horizontally at a target 20m away. The arrow hits a point 19·6cm vertically below the point it was aimed at. Calculate the speed with which the arrow left the bow. |