# Kinematics in 1 dimension with constant acceleration Lesson Objective: The ‘suvat’ equations Consider a point mass moving along a line with a constant.

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Kinematics in 1 dimension with constant acceleration Lesson Objective: The ‘suvat’ equations Consider a point mass moving along a line with a constant acceleration. What does its velocity time graph look like?

s = ut + ½at 2 v = u + at v 2 = u 2 + 2as s = ½(u + v)t a = acceleration u = initial velocity (velocity at the start of a time period specified by you) v = final velocity (at the end of the time period specified by you) t = time s = displacement (not distance) Note: When using these equations pick a direction for positive and stick to it!

A car accelerates from rest at 5ms -2. How long does it take for the car to travel 100m and what is the velocity at that instant?

A bus leaves a bus stop by accelerating at 0.8ms -2 for 5s. It then travels at a constant speed for 2 minutes before slowing down uniformly at 4ms -2 to come to rest at the next bus stop. a) Find the constant speed in the middle part of the journey b) Find the distance travelled in the first part of the journey c) Find the total distance between the two bus stops

A particle positioned at O is travelling at 20ms -1. It starts to decelerate at a constant rate of 3ms -2 and continues to do so for 12 seconds. a)Find the time taken for the particle to come instantaneously to rest. b)Find the final velocity of the particle. c)Find the position of the particle relative to O at the end of the journey. d)Find the distance travelled in the entire 12 seconds

A particle moves in a straight line from O to A with a constant acceleration of 2ms -2. Its velocity at A is 30ms -1 and it takes 12 seconds to travel from O to A. Find the particle’s velocity at O and the distance OA. A train starts from rest at a station S and moves with constant acceleration. It passes a signal box B 15 seconds later with a speed of 81kmh -1. Find the acceleration of the train in ms -2 and the distance in metres between S and B. A, B and C are three points that lie in that order on a straight road with AB = 95m and BC = 80m. A car is travelling along the road in the direction ABC with constant acceleration ‘a’ ms -2. The car passes through A with speed ‘u’ ms -1, reaches B 5 seconds later and C 2 seconds after that. Find u and a.

A train starts from rest at a station S and moves with constant acceleration. It passes a signal box B 15 seconds later with a speed of 81kmh -1. Find the acceleration of the train in ms -2 and the distance in metres between S and B.

A, B and C are three points that lie in that order on a straight road with AB = 95m and BC = 80m. A car is travelling along the road in the direction ABC with constant acceleration ‘a’ ms -2. The car passes through A with speed ‘u’ ms -1, reaches B 5 seconds later and C 2 seconds after that. Find u and a.

Kinematics in 1 dimension with constant acceleration Lesson Objective: The ‘suvat’ equations and gravity

Dissatisfied with the quality of his Chinese meal, an oriental tourist drops his plate from a rooftop restaurant, 100m above the ground. How long does it take for the chop suey to hit the ground, and at what speed is it then travelling?

A juggler throws a ball up in the air with an initial speed of 5ms -1 from a height of 1.2m. Assuming that g is 10ms -2, find the maximum height that the ball reaches above the ground and the time it takes to reach this height.

Find the time taken for the ball to hit the ground if the juggler fails to catch it.

A juggler throws a ball up in the air with an initial speed of 5ms -1 from a height of 1.2m. Assuming that g is 10ms -2, find the maximum height that the ball reaches above the ground and the time it takes to reach this height. Find the time taken for the ball to hit the ground if the juggler fails to catch it. When the first ball reaches its maximum height the juggler throws another ball with the same speed and from the same height. Where and at what time will the balls collide/pass each other?

Ball A is initially 7 metres directly above ball B. Ball A is dropped from rest, and at the same time, ball B is projected vertically upwards at 10ms -1. Find the time elapsed when, and the position at which, the balls collide.

Two particles are projected vertically upwards from the same point at ground level. Particle A is projected at 30ms -1, and particle B two seconds later at 40ms -1. Taking ms -2, find when and where the particles collide. Explain how you have used the assumption that A and B are particles in your calculations..

Forces Lesson Objective: Understand the types of Forces that exist and Newton’s third law

Types of Force Cause Direction Weight Gravity pulling Towards the ground Normal Contact Something touching Perpendicular to the surface Friction Where there are rough In opposite direction surfaces in contact to the movement Driving Forces Motors or Engines In same direction as the movement Resistance Forces Fluids In opposite direction to the movement Tension Forces Pulling with a string/bar Along the line of the string/bar

Newton’s Third law states: When one object exerts a force on another there is always a reaction of the same kind which is equal and opposite in direction to the acting force.

Newton’s first law: Every body continues in a state of rest or in a a state of uniform motion in a straight line unless acted on by a resultant force

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